{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "plt.rcParams[\"figure.dpi\"] = 80\n",
    "\n",
    "def remove_frame():\n",
    "    for spine in plt.gca().spines.values():\n",
    "        spine.set_visible(False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'1.4.0'"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "torch.__version__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAKcAAACsCAYAAAAe0bwvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAMTQAADE0B0s6tTgAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAL4klEQVR4nO3de4xU5R3G8e+P5RqKLHLLUqBYuYkFEWoL0ohWCrXGmhaIUkUptbGxrYn0EmubaKoxtKY2bWxSqZc12vaPCmlaW1wNLS1KASWKCCrXjVBQlKu4LLjLr3+8Z7vDMrs7u3t2z7s7zyd5c86c27wz++x7zpwz7xxzd0Ri1C3rCog0RuGUaCmcEi2FU6KlcEq0FE6JlsIp0VI4W8jMLjczN7PuGddjtZnd18T8WWbWqU9iZ/oGx8rMyoD7gdnAQOAAsB74NrAWKHP3muxqCMBXgVMZ16FdKZz5LQdOAvOBfcAngC8Dfd39APBOhnUDwN0PZV2HdufuKjkFKAUcmNrI/MuT+d2Txwb8HDgCvAf8AHgBuCdnHQcWA/8ATgAbgE8m23odOAY8CfTOWWco8DRwHDgMPEr456ibvxq4L+fxROBloDp5/lvCnzf797S1RcecZ/swKdcWeFz5DeDWZDgT+AwwKc9yPwF+CUwBaoA/JNMWAVcl5Zs5yz8JjEi2eQ1wWbL+WcysBFgBvA1MBX4F3FtA3eOW9X9HjAVYQGjNPgBWAXcBH2+k5XyJM1uwUqCKs1vOH+Y8vj6Z9umcab8Flifj45P5E3LmfxH4COifPF5d97yEYFcBA3KWX4pazq7H3f8IDANuIIRvEbDVzC7Ks/gYYGPOukeAHXmW25wz/m4y3NJg2uBkfBzwgbtvzZn/H8JnhPPzbHscsMPdD+dM25BnuU5F4WyEux9397+4+53AhcAe4HuNLV7AJj/Ks3zDaXV/D2vhc1iBdehUFM4CuPtHwC6gb57Z2wnHeQCYWX9gdBuf8k2gn5lNyJl2KeFYdWee5d8CxphZac60S9pYh8wpnA2Y2VAze87MrjOzCWY2xszuAL4E/DXPKg8D3zWzr5jZBcAyQoha3ZK5+5vAc8BjZjbVzGYAvwYed/ejeVapAPYDjyR1ngfc3Nrnj4XCebZjwKvAj4B1hOPJm4Db3L08z/KPAb8DyoF/E45RtxPOk7bFTcB/gX8BfwPWAHfkW9Ddawkn5c8DXgGWAPe08fkzZ8knO0mJmfUlnLi/xd3/lHV9OjNdIWqj5BhzIfA80Jtw7vIU8GyW9eoKtFtvOydc5txA2K2fC1zh7h9kWqsuQLt1iZZaTomWwinRyjycq1atcsJxW1GVYn3dtEDm4aypyfo7u9ko1tfdEpmHU6QxCqdES+GUaCmcEi2FU6KlcEq0FE6JVruE08zuTn4V41PtsX0pDqmH08ymANMI3VRFWi3VcJpZL+A3wG10wQ5X0rHSbjl/Cjzl7rtT3q4UodS+CW9m0wk9/u5sZrklhD4uACxevDitKnQq1dXVVFRUZF2NDjdnzpyCl03ty8ZmdidwO/W/fDac8EMBt7j7ysbWq6io8JZUuKuoqKho0R+qC8nXJz+v1Hbr7r7U3Ye5+yh3HwXsBeY0FUyRpug8p0Sr3XpfJq2nSKup5ZRoKZwSLYVToqVwSrQUTomWwinRUjglWgqnREvhlGgpnBIthVOipXBKtBROiZbCKdFSOCVaqYXTzHqb2Z/NbJuZvWpmz5rZqLS2L8Un7ZZzGTDO3ScDzySPRVolzT5E1e7+d6/vMbeOcMN7kVZpz2PO28l/r0iRgrRLHyIzu4twH/Jv5Zmnfuuo33ohUr9Jlpl9H7gemOXuR5pbXv3Wi07B/dZTbTmTVnEBBQZTpClp/hzNcOAXwC7gn2YGcNLdP5vWc0hxSS2c7r6XFjTZIs3RFSKJlsIp0VI4JVoKp0RL4ZRoKZzSMdzh9OkWrdJuP4EoETp+HN57D44eDeXYsVByx6uqoLo6lJMn68dzy6lTUFMDtbWhNDae+7gumC24IqlwdgW1tbBvH+zeDZWVoezZA+++CwcO1A+rqlq+7W7doE8f6N0bevUKw549Qykpge7dw7Cu5D5uOK9by3bUCmdnUlUFb7wBW7eGsmVLeFxZGVqohnr0gCFDYOhQGD8+DAcPhtJS6N8fzjmnvvTvD/36Qd++IYB1YeyeXUQUzli5w86d8OKLsHZtGG7deuZusXt3GDsWrr4aRo06s4wcCQMGgHXei3YKZyyqq2Hjxvogrl0bjg/rjBgBc+fCxIkwYQJceCGMHh1axy5K4cxIz0OHYMWKEMK1a0MwTyV3ySkpgcmTYcECuPTSUEaMyLbCGVA4O0JtbTg+zGkVr9i1q35+aSnMmhVCOGMGXHJJOPYrcgpnezh4ENavh3XrQlm/PpymqTN2LHtnz2b4/PkhkOPHt/iTbDFQONvq0CHYvBk2bYKXXgph3LGjfn6fPjB1amgRZ8yA6dNh0CC2VFQwvDi/CV+wtL8JPwZ4AhgEHAEWufvWNJ8jE6dPw/79IXQ7d8K2bfDaayGUe/eeuezYsbBwIUybFsrEiV36Q0t7SrvlfBhY5u7lZjYPeBSYnvJzpMc9nDs8fBjeeSecyN6/P5S68d27QyCrq89ct2fP8In5yith0qRQLr4YBg7M5rV0QWl20xgCTAFmJ5OWAw+Z2Sh3r2xsvZ4HD4arGY1dBitk2okTITwnTpxZcqd9+CEcOVJfDh8Ow3wnr+v06BHOF86cCeefH07d1A3HjFGL2M7SbDlHAPvcvQbA3d3M3gZGApWNrXTFDTekWIVm9OsXPhkPGABlZfXjpaXh6klZGQwbFoZlZXDuufqgkqG0d+sNr+qfdXmiYb/15ydMYPS4cXi3bnhJyVlDunXjdDI8Y17O+Olevajt0SMMe/Y8e5iMe0lJAa/Awy593762vhdNUr/15qV5v/UhwHZgoLvXWOh+uR+Y1tRuXf3Wi04m91s/ALwC3JhMmgtUNhVMkaakvVu/FShPfo7mGHBzytuXIpJqON39LWI+dSSdij6KSrQUTomWwinRUjglWgqnREvhlGgpnBIthVOipXBKtBROiZbCKdFSOCVaCqdES+GUaCmcEq1Uwmlm95vZG2a2ycw2mNnn09iuFLe0vmy8BrjX3U+Y2UXAajMrc/fq5lYUaUwqLae7r3T3E8nDzUAJ4Vc/RFqtPY45vw7sTG43KNJqBe3WzWwNcEEjsy929z3JclcCdwNfaGJbut866rdeiDT7rc8EngSucfdNha6nfutFp2P7rZvZZYRgXtuSYIo0Ja1P648CvYDHrf4H8he6++aUti9FKJVwuvuYNLYjkktXiCRaCqdES+GUaCmcEi2FU6KlcEq0FE6JlsIp0VI4JVoKp0RL4ZRoKZwSLYVToqVwSrQUTolWquE0s8vNrNbMvpPmdqU4pRZOM+sH/AxYmdY2pbil2XI+CDwAvJ/iNqWIpdXB7Sqg1N2fTmN7IpBSv3VgKU30VW+wLfVbR/3WC9Hmfutm9jlgBVCVTBoEnAQecve7m1tf/daLTsH91tvc+9LdXwCG/P+ZzcqBl939obZuW4qbznNKtFK93zqAuy9Ke5tSnNRySrQUTomWwinRUjglWgqnREvhlGgpnBKt1H52u9UVMFvi7g9mWokM6HUXsGwE4dzr7sMzrUQG9Lqbp926REvhlGjFEM6iO+5K6HU3I/NjTpHGxNByiuSlcEq0oginmZWb2V4zezUpD2Rdp/ZiZmPMbK2ZbUvuTT8h6zp1BDOrNLM3c/7G1zW3TupfNm6DpUXSteNhYJm7l5vZPMLd76ZnXKeOMs/dXy904ShazmJhZkOAKcBTyaTlwHlmNiqrOsUspnAuMbPXzOwZM5ucdWXayQhgn7vXAHg4VfI2MDLTWnWc35vZZjN7xMwGN7dwh4TTzNaY2fuNlBHAj4HR7j6JsJtbaWYf64i6ZaDhubuCu8p2cpe5+0WEPcdB4InmVojyPKeZvQV8zd03Zl2XNCW79e3AQHevsXCL5f3ANHevzLRyHcjMyoBt7t6vqeWi2K2b2fCc8WnAQGBHdjVqH+5+AHgFuDGZNBeo7OrBNLO+ZlaaM2kB4X1oUiyf1svNbChQC5wA5rv70Yzr1F5uJbzeu4BjwM0Z16cjDAWWm1kJ4TBmF3BTcytFuVsXgUh26yL5KJwSLYVToqVwSrQUTomWwinRUjglWgqnREvhlGj9D7LObjSG9Sy1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 160x160 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 160x160 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 160x160 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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2mFkdgIWvSt4A+mdaq9K5R9LLku6U1KO5hUsSTknLJb3XyNQPuBYYZGbDCLu5xyTtU4q6ZSD/u7sWd5Utc2PNbDhhz/E+MK+5FaL8nlPSX4BzzWxl1nVJU7JbXwt0N7M6hSGWa4FRZrY+08qVkKTewBoz27ep5aLYrUvqm/N6FNAd+Gt2NSoOM9sIvAScl8w6C1jf3oMpaW9J++XMOofwe2hSLGfr1ZJ6AfXANuBsM/vfjOtULJcRtncqsBm4IOP6lEIv4H5JHQiHMX8Dzm9upSh3685BJLt15wrxcLpoeThdtDycLloeThctD6eLlofTRcvD6aLl4XTR+n/MeHtfVEYVzAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 160x160 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 160x160 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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wLJwmWBZOEywLpwmWhdMEy8JpgmXhNMH6PyoLWL8eqqEnAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 160x160 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 160x160 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 160x160 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import torch\n",
    "\n",
    "def make_activation_plot(f, title=None):\n",
    "    xs = torch.arange(-10., 10., step=0.01)\n",
    "\n",
    "    fig = plt.figure(figsize=(2,2))\n",
    "    ax = plt.axes()\n",
    "\n",
    "    ax.plot(xs, f(xs), c=\"r\")\n",
    "    ax.grid()\n",
    "\n",
    "    for s in ax.spines.values():\n",
    "        s.set_visible(False)\n",
    "    \n",
    "    ax.set(xlim=(-5, 5), ylim=(-5, 5))\n",
    "    \n",
    "    if title:\n",
    "        ax.set(title=title)\n",
    "        plt.savefig(f\"af-{title}.png\")\n",
    "        \n",
    "    plt.show()\n",
    "    \n",
    "def swish(x):\n",
    "    return x * torch.sigmoid(x)\n",
    "    \n",
    "make_activation_plot(torch.nn.Sigmoid(), title=\"Sigmoid\")\n",
    "make_activation_plot(torch.nn.Tanh(), title=\"Tanh\")\n",
    "make_activation_plot(torch.nn.ReLU(), title=\"ReLU\")\n",
    "make_activation_plot(torch.nn.LeakyReLU(negative_slope=0.1), title=\"LeakyReLU\")\n",
    "make_activation_plot(torch.nn.ELU(), title=\"ELU\")\n",
    "make_activation_plot(torch.nn.SELU(), title=\"SELU\")\n",
    "make_activation_plot(torch.nn.Softplus(), title=\"Softplus\")\n",
    "make_activation_plot(swish, title=\"Swish\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "torch.sigmoid\n",
    "\n",
    "# 01\n",
    "xs = np.linspace(-10,10, num=1000)\n",
    "plt.plot(xs, (np.sign(xs)+1)/2.0, c=\"r\")\n",
    "plt.grid()\n",
    "remove_frame()\n",
    "plt.savefig(\"activation-sign.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 480x320 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 01\n",
    "xs = np.linspace(-10,10, num=1000)\n",
    "plt.plot(xs, (np.sign(xs)+1)/2.0, c=\"r\")\n",
    "plt.grid()\n",
    "remove_frame()\n",
    "plt.savefig(\"activation-sign.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TB7p2jTqOSORUgETypN3SpbBhg2a/iSSoAInkSceFC8MdDb+JACpAIvnhToeFC+GAA+CQQ6JOI1IQVIBE8uGFF2hVe+ltXftHBFABEsmPmTPDrYbfRD6jAiSSDzNn8ukee8DRR0edRKRgqACJ5Npbb8FLL/Hht76la/+IJFEBEsm1xPBbZb9+EQcRKSwqQCK5NnMmlJWxtnfvqJOIFBQVIJFcWrsWnnwSTjmFHWVlUacRKSgqQCK59Nhj4do/mv0m8gUqQCK5NHNm+N7P4MFRJxEpOCpAIrmydSvMmwf9+0PHjlGnESk4KkAiufL447Bli4bfROqgAiSSKzr7gUi9VIBEcmHHDpg1C3r1gp49o04jUpBUgERy4ZlnoLJSRz8i9VABEsmF2uG3IUOizSFSwFSARHJhxgzo1AmOPDLqJCIFSwVIJNuWL4cVK+D006GJ/sRE6qK/DpFs0/CbSEZUgESybfp0aNsWTjgh6iQiBU0FSCSb1qwJM+AGD4aWLaNOI1LQMi5AZtbTzJ42sxVmtsjMetXTtoOZfWBmD2cnpkhMTJ8ebocNizaHSAw05AjoTuAud/8qcCNwdz1tbwfmNCaYSCxNmwZlZXDaaVEnESl4GRUgM+sI9AYmJzZNA3qYWfc0bc8FPgD+kZ2IIjFRWQkLFsCpp0KbNlGnESl45u67bmTWB5jk7r2Sti0Cxrr7k0nb9gNmA8cBw4HB7j48zf7GAGNq1ysqKjoPaeSMoaqqKspicsGvuGRVzobpMncuh9xyCy/95Ce8d9JJX3i8UHJmIi5ZlTO7spGzvLzcMm7s7rtcgD7AspRtzwIDUrY9BpyUuH8B8HAm+/csmDdvXjZ2kxdxyaqcDVRe7t68ufu6dWkfLpicGYhLVuXMrizlzKiuuDvNMqxTq4EuZtbM3bebmQFdgVUp7foBd4eHaQu0MrP57l6ecUUUiaP168PlF779bdhrr6jTiMRCRp8BuXslsBgYmdg0DFjp7itT2rVz9+7u3h0YC8xV8ZGSMHs2bN+u2W8iDdCQWXCjgFFmtgK4ErgYwMzmmJlOeCWl7ZFHwml3dPZrkYxlOgSHu79KGGJL3T6wjvYTgYm7G0wkNjZtCpfeHjAAOnSIOo1IbOhMCCKNNXcuVFVp+E2kgVSARBpr2rRwe+aZ0eYQiRkVIJHG2LIFHn0U+vWDzp2jTiMSKypAIo3x2GOweTN897tRJxGJHRUgkcaYMgXM4Kyzok4iEjsqQCK7a+NGmDMHjjsuXH5bRBpEBUhkd82aFWa/afhNZLeoAInsrgcfhKZNNf1aZDepAInsjnXrYP78cO639u2jTiMSSypAIrtj+nSoroYRI6JOIhJbKkAiu2PKFGjeXF8+FWkEFSCRhqqshCeeCFc+1aUXRHabCpBIQz3wAOzYAd/7XtRJRGJNBUikoSZNgj320KUXRBpJBUikIZYtg+efh+HDoVWrqNOIxJoKkEhDTJoUbs8/P9ocIkVABUgkUzt2wH33QbducOyxUacRiT0VIJFM/f3vsGYNjBwZLr8tIo2ivyKRTNUOv513XrQ5RIqECpBIJjZvhocfhr594aCDok4jUhRUgEQyMXVqKEKafCCSNSpAIpkYNy5Muz733KiTiBQNFSCRXXn5ZVi4MFz1VKfeEckaFSCRXRk3Ltz+x39Em0OkyKgAidSnqirMfjv4YDj66KjTiBQVFSCR+kybFi4+d8klYBZ1GpGiogIkUp9x46BFC333RyQHVIBE6vLqq/CPf8DQobrstkgOqACJ1OW228JtRUW0OUSKlAqQSDobNsDEiXD44TBgQNRpRIqSCpBIOvfcA5s2weWXa/KBSI6oAImk2rEDbr01fO6jy26L5IwKkEiquXPhzTfDF0/LyqJOI1K0VIBEUt1yCzRtCpdeGnUSkaKmAiSSbPFi+NvfYPhw6NIl6jQiRS3jAmRmPc3saTNbYWaLzKxXmjYjzGyxmb1sZkvN7EfZjSuSY7/5Tbj92c+izSFSAhpyBHQncJe7fxW4Ebg7TZs1wGnufihwDPBjM+vf+JgiefDaa+Gic6eeCt/4RtRpRIpeRgXIzDoCvYHJiU3TgB5m1j25nbs/5e7vJ+5vAJYDPbIVViSnbroJamrg5z+POolISTB333Ujsz7AJHfvlbRtETDW3Z+s42d6AQuAw9z93ZTHxgBjatcrKio6DxkyZPd+g4SqqirKYjJjKS5ZSylny7VrGXDBBWw48EAW3XxzTr77E5f+hPhkVc7sykbO8vLyzP943H2XC9AHWJay7VlgQB3tuwCvAWdlsn/Pgnnz5mVjN3kRl6wllfOKK9zBfdasxu+rDnHpT/f4ZFXO7MpSzozqirtn/BnQaqCLmTUDMDMDugKrUhua2X7A34Dr3P2hjCuhSFTefRf+9Kdw2p1Bg6JOI1IyMipA7l4JLAZGJjYNA1a6+8rkdmbWCXgc+K27/yWLOUVy53/+J1x47rrroIm+mSCSLw35axsFjDKzFcCVwMUAZjbHzI5MtLkW2J8w++3FxHJhVhOLZNNbb4Vr/hx1lI5+RPKsWaYN3f1VoF+a7QOT7l8CXJKdaCJ58KtfQXV1OArSSUdF8krjDVK6XnkFJk2CE08Mi4jklQqQlK6xY8P3fq6/PuokIiVJBUhK07x5MGdOuNzCt74VdRqRkqQCJKWnuhr+67+gVaud534TkbxTAZLS8+c/w/Ll4YSjXbtGnUakZKkASWl55x246qpQeH7yk6jTiJS0jKdhixSFyy+HTz6B++6D1q2jTiNS0nQEJKVjxgx45BE46yz4zneiTiNS8lSApDSsXw+jR8Oee4ZLbotI5DQEJ6XhssvC5z/jx0OnTlGnERF0BCSl4IEH4P774fTT4aKLok4jIgkqQFLcVq+GSy+FffYJRz8635tIwdAQnBSvbdvChIMNG8Kstw4dok4kIkl0BCTFa8wYeOYZ+OlPdakFkQKkAiTF6d574fbb4YQTwqUWRKTgqABJ8VmwAC65BDp3hilToJlGmkUKkQqQFJdXX4UzzoAWLWD2bOjYMepEIlIH/ddQisd778HAgbBxYyg+3/hG1IlEpB4qQFIcPvggXNX0zTdh3Dg47bSoE4nILmgITmKv+YYN8O1vh0ss/OEP8IMfRB1JRDKgIyCJt7ffpu8VV8CaNXDTTfDjH0edSEQypCMgia+lS+Hoo2m7Zk048hk7NupEItIAKkAST/Pnw7HHwocfsuTKK3XkIxJDKkASLzU1cN11YZKBGcyZw/vHHx91KhHZDSpAEh+VleE7PldfDYcdBs89FyYfiEgsqQBJPDzyCBxyCDz6KJx3HixcCF/5StSpRKQRVICksK1ZAyNGwLBh4A4PPhjO89a6ddTJRKSRVICkMFVVwQ03wEEHwdSpMGQIvPwynH121MlEJEv0PSApLNu2hQvHXX89vPsu9OwJf/wjnHpq1MlEJMtUgKQwfPwxTJgAt9wSht322Qd+//twNdOWLaNOJyI5oAIk0XGHxYvhjjtg8mTYujWcvfp3vwuFR5/ziBQ1FSDJv9deC9fpuf/+cP42gL594Uc/CpfQ1hGPSElQAZLc27YN/vlPmDMnLLVFp0MHGD06TKvu2zfajCKSdypAkn1r14bv6Tz1VFiefTbMagPYbz+4+OJwpHPSSbpaqUgJ01+/7L6NG8P1d5YtCycGrV1Wr97Z5ktfCudsO+GEcLG4r389nEJHREpexgXIzHoCfwHaA+uBC9z932naXQVcmFi9392vzkZQySN3+OQTWq9ZAwsWwPvvh+Wdd+Ctt8Ly5pvhSCdZixZw8MFw/PFw1FHQvz8ceig0bRrJryEiha0hR0B3Ane5+0QzGw7cDfRLbmBmA4BzgK8D24GnzOyf7j4/W4EljR07whDX1q1hqb2fbtvmzbB+PWzYEJbk+xs2wLp14ZxrW7dybF3P17lzKDQHHAA9eoT7hx0WvrPTvHk+f3MRibGMCpCZdQR6A6ckNk0DbjOz7u6+MqnpCGCiu29O/NwEQkHKbQGaMYNed90Vzhfm/vkF6l/f3TaN2Hefjz4KU43dQ/HYvn3nbeqSyfYdOxrXf02bwl57wZ57Qrt2oaDsuy9vbtnCAf36wb77hqVTJ+jWDcrKGvd8IiKAee2bZH2NzPoAk9y9V9K2RcBYd38yadvsRLupifWBiTYnpuxvDDCmdr2ioqLzkCFDdvuX6HnPPRzw4IO7/fMN5WZgxmc9l1iv/WzDk7ala+PuO+83bYo3aRJua5fa9aTtNYlbmjT57H5tm5rmzalp0YKaFi3Y0bLlzvstWlDTsiU7mjcPty1aUFNWRnWbNmxPWna0bJn2c5mqqirKYlBslDP74pJVObMrGznLy8sz/pC3IUNwqZWqrifxXbVx95uBm+vZd8MccwxPDBvGiSedlHhW+0JRqHe9IW2Sfqnd/Sh9/vz5lJeX7+ZP549yZldcckJ8sipnduU7Z6YFaDXQxcyauft2MzOgK7Aqpd0qoHvSerc0bbKvTRuq99gjDB+JiEgsZHQ2bHevBBYDIxObhgErUz7/AXgI+L6ZtTGzlsBFwJQsZRURkSLSkMsxjAJGmdkK4ErgYgAzm2NmRwK4+9+BqcBS4BXgr+4+L6uJRUSkKGT8GZC7v0rKtOvE9oEp69cC1zY+moiIFDNdkE5ERCKhAiQiIpFQARIRkUioAImISCRUgEREJBIZnYonDsxsTOIMCwUvLlmVM7vikhPik1U5syvfOYupAK1x9y5R58hEXLIqZ3bFJSfEJ6tyZle+c2oITkREIqECJCIikSimAlTw46tJ4pJVObMrLjkhPlmVM7vymrNoPgMSEZF4KaYjIBERiREVIBERiYQKkIiIRCJWBcjMLjKzpWa23cxGpzzW2sweMLPXzWyFmQ2tZz+DzWx5ou00M2ubw8wPm9mLSUuNmZ1eR1s3s5eS2h6bq1x1PP9EM1uT9Pw31dM2b32Y5rmvN7NXzGyJmS0ysxPraZvXPjWznmb2dOI1uMjMetXR7iozeyOx/DqXmep4/jIzm5HI+aKZzTOz7mnaHW9mW1Jew63ynHVl4rVW+/wj6mgXWZ+a2V4pfbQi8T7VLqVd3vvTzP6Y6EM3s0OTtmf0Wk20zU3funtsFuBw4GDgXmB0ymO/ACYm7vcA3gf2TrOPtsAHwNcS67cBN+Qp/5HAR0DLOh53oG2E/TsxtV/raBdZHyae7zSgVdJrYh1QVgh9CjwBXJC4PxxYmKbNAGAZ0AZoCTwHlOf537oMGMjOiUijCReQTG13PPBcPrOlybASOHQXbSLv05Q8Y4HZhdCfib7pktqPmbxWc923sToCcvcl7v4KUJPm4RHAnxLt3gKeBM5I0+40wgtgeWL9duCcHMRN5yJgsrtvy9Pz5UqUfYi7z3X3rYnVpUBToH2+nr8uZtYR6A1MTmyaBvRIc2QxgvCfpc2J18IE8th/AO5e5e5zPPEOA/wLOCCfGbIs8j5NcSFwd4TP/xl3f9Ld1yRva8BrFXLYt7EqQLuwP/B20vrKxLZM2nU2s5z2hZmVEf7RdvWi/HtiaOlmM2uTy0x1GJMYsnrUzI6oo00kfViHC4E3Uv/AUuSrT7sC77r7doDEm/sqvvg6zPS1mk+XA7PreOwgM3vBzJ41sx/mM1SS+xLD7+PNrEOaxwumT82sH/Bl4NE6mhRCf2b6WoUc9m3Gl+TOBzNbQBhiS+cb7r56F7tI/lKTZdiuURqQeRjwmrsvrWd33dx9VeJN8g7gJiBrL9BdZQX+H/Ceu9eY2ZnAXDPr6e6b0rTP2RfIMu1TMzsJ+CVwcj27y2mfppHaL3W9DjN9reacmf030BOoSPPwC0AXd99gZl2AOWb2kbtPzWPEAYl/w+bAdcBfCMOHqQqlTy8C7q19c09RCP1ZK9PXamrbrPVtQRUgd2/MB8SrgO7Ah4n1bsCcOtolf2jdHXjH3dMN6+1SAzJfzC6Oftx9VeJ2s5ndDty1O5nq2X/G/evu083sN8BBwPMpD2e1D9M89y5zmtlxwD3Ad9z91Xr2ldM+TbEa6GJmzdx9u5kZ4X+aq1La1b5Wa3VL0yYvzGwsMBT4trtvSX3c3Tcm3V9jZg8AxwJ5e8NM+jesNrM/ACvSNCuIPk0NUFo/AAABvklEQVT8R2cE0Dfd44XQnwmZvlYhh31bTENwDwGXAZhZD+A4YFaadvOAb5rZ1xLrPwSm5DJYIk9f4IF62uxtZq0T95sQXsSLc5krTYYuSfePIgwjvJ6mad77MJmZDQAmAWe4+5J62uW1T929MrH/kYlNw4CV7r4ypelDwPfNrI2ZtST8jzlv/VfLzMYQhoVPdvf1dbTpVDu0amZfAgaTx9dloo/2Stp0Th3PXxB9CpwFvJT0+ejnRN2ftRrwWoVc9m0+Z2M0dkl01hpgM2Hm0xrCkAyEGRoPEt4wVwDDk37uWqAiaf10YHmi7XRgjxzn/jXwlzTbK4BrE/f7AS8BSwgzTiYB7fLcv38jfKj/IrAQOKFQ+jAl52uEWXgvJi2HFUKfEo4YFyZeg88BhyS2zwGOTGr3C+DNxHJ9Pv+dE8/fhTCs8kZSHz6TeGw8cHri/uhE39X24TUkZs7lKecBhDfKlxKvzZlA90Ls00SGBcCFKdsi7U/C5Kw1wHbC7ODX63ut5rNvdS44ERGJRDENwYmISIyoAImISCRUgEREJBIqQCIiEgkVIBERiYQKkIiIREIFSEREIqECJCIikfj/TMSYUQKRq3QAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfe4af0940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# sigmoid\n",
    "def sigmoid(x):\n",
    "    return 1. / (1 + np.exp(-x))\n",
    "\n",
    "xs = np.linspace(-10,10, num=1000)\n",
    "plt.plot(xs, sigmoid(xs), c=\"r\")\n",
    "plt.grid()\n",
    "remove_frame()\n",
    "plt.savefig(\"activation-sigmoid.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 218,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdf684ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import autograd as ag\n",
    "import autograd.numpy as np\n",
    "\n",
    "grad_sigmoid = ag.elementwise_grad(sigmoid)\n",
    "\n",
    "xs = np.linspace(-10,10, num=1000)\n",
    "plt.plot(xs, grad_sigmoid(xs), c=\"r\")\n",
    "plt.grid()\n",
    "remove_frame()\n",
    "plt.savefig(\"activation-grad-sigmoid.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 283,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdf926b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# relu\n",
    "def relu(x):\n",
    "    return np.clip(x, a_min=0, a_max=None)\n",
    "\n",
    "xs = np.linspace(-10,10, num=1000)\n",
    "plt.plot(xs, relu(xs), c=\"r\")\n",
    "plt.grid()\n",
    "remove_frame()\n",
    "plt.savefig(\"activation-relu.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 284,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdf92b240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import autograd as ag\n",
    "import autograd.numpy as np\n",
    "\n",
    "grad_relu = ag.elementwise_grad(relu)\n",
    "\n",
    "xs = np.linspace(-10,10, num=1000)\n",
    "plt.plot(xs, grad_relu(xs), c=\"r\")\n",
    "plt.grid()\n",
    "remove_frame()\n",
    "plt.savefig(\"activation-grad-relu.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfe4aa6630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# logistic loss \n",
    "def logistic_loss(x):\n",
    "    return -np.log(sigmoid(x))\n",
    "\n",
    "xs = np.linspace(-5,5, num=1000)\n",
    "plt.plot(xs, logistic_loss(xs), c=\"r\")\n",
    "plt.grid()\n",
    "remove_frame()\n",
    "plt.savefig(\"logistic_loss.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [],
   "source": [
    "# lda\n",
    "plt.rcParams[\"figure.dpi\"] = 160\n",
    "\n",
    "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis\n",
    "from matplotlib import colors\n",
    "import matplotlib as mpl\n",
    "from scipy import linalg\n",
    "from scipy.stats import multivariate_normal\n",
    "import numpy as np\n",
    "\n",
    "cmap = colors.LinearSegmentedColormap(\n",
    "    'red_blue_classes',\n",
    "    {'red': [(0, 1, 1), (1, 0.7, 1)],\n",
    "     'green': [(0, 0.7, 0.7), (1, 0.7, 1)],\n",
    "     'blue': [(0, 0.7, 0.7), (1, 1, 1)]})\n",
    "plt.cm.register_cmap(cmap=cmap)\n",
    "\n",
    "def dataset(case=0):\n",
    "    n, dim = 300, 2\n",
    "    np.random.seed(0)\n",
    "    \n",
    "    if case == 0:\n",
    "        X = np.vstack([\n",
    "            multivariate_normal(mean=np.array([0.0, 0.0]), \n",
    "                                cov=np.array([[1.0, 0.0], [0.0, 1.0]])).rvs(n),\n",
    "            multivariate_normal(mean=np.array([1.0, 0.0]), \n",
    "                                cov=np.array([[1.0, 0.0], [0.0, 1.0]])).rvs(n), \n",
    "        ]) \n",
    "    elif case == 1:\n",
    "        X = np.vstack([\n",
    "            multivariate_normal(mean=np.array([0.0, 0.0]), \n",
    "                                cov=np.array([[0.01, 0.2], [0.2, 5.0]])).rvs(n), \n",
    "            multivariate_normal(mean=np.array([1.0, 0.0]), \n",
    "                                cov=np.array([[0.01, 0.2], [0.2, 5.0]])).rvs(n),   \n",
    "        ])\n",
    "    elif case == 2:    \n",
    "        X = np.vstack([\n",
    "            multivariate_normal(mean=np.array([0.0, 0.0]), \n",
    "                                cov=np.array([[1.0, 0.0], [0.0, 1.0]])).rvs(n),\n",
    "            multivariate_normal(mean=np.array([1.0, 0.0]), \n",
    "                                cov=np.array([[0.01, 0.2], [0.2, 5.0]])).rvs(n),   \n",
    "        ])\n",
    "\n",
    "    y = np.hstack((np.zeros(n), np.ones(n)))\n",
    "    return X, y\n",
    "\n",
    "\n",
    "def plot_data(lda, X, y, y_pred, fig_index):\n",
    "    splot = plt.subplot(1, 1, fig_index)\n",
    "\n",
    "    tp = (y == y_pred)  # True Positive\n",
    "    tp0, tp1 = tp[y == 0], tp[y == 1]\n",
    "    X0, X1 = X[y == 0], X[y == 1]\n",
    "    X0_tp, X0_fp = X0[tp0], X0[~tp0]\n",
    "    X1_tp, X1_fp = X1[tp1], X1[~tp1]\n",
    "\n",
    "    alpha = 0.5\n",
    "\n",
    "    # class 0: dots\n",
    "    plt.plot(X0_tp[:, 0], X0_tp[:, 1], 'o', alpha=alpha,\n",
    "             color='red')\n",
    "    plt.plot(X0_fp[:, 0], X0_fp[:, 1], '*', alpha=alpha,\n",
    "             color='#990000')  # dark red\n",
    "\n",
    "    # class 1: dots\n",
    "    plt.plot(X1_tp[:, 0], X1_tp[:, 1], 'o', alpha=alpha,\n",
    "             color='blue')\n",
    "    plt.plot(X1_fp[:, 0], X1_fp[:, 1], '*', alpha=alpha,\n",
    "             color='#000099')  # dark blue\n",
    "\n",
    "    # class 0 and 1 : areas\n",
    "    nx, ny = 200, 100\n",
    "    x_min, x_max = plt.xlim()\n",
    "    y_min, y_max = plt.ylim()\n",
    "    xx, yy = np.meshgrid(np.linspace(x_min, x_max, nx),\n",
    "                         np.linspace(y_min, y_max, ny))\n",
    "    Z = lda.predict_proba(np.c_[xx.ravel(), yy.ravel()])\n",
    "    Z = Z[:, 1].reshape(xx.shape)\n",
    "#     plt.pcolormesh(xx, yy, Z, cmap='red_blue_classes',\n",
    "#                    norm=colors.Normalize(0., 1.))\n",
    "    plt.contour(xx, yy, Z, [0.5], linewidths=1., colors='k')\n",
    "\n",
    "    # means\n",
    "    plt.plot(lda.means_[0][0], lda.means_[0][1],\n",
    "             'o', color='black', markersize=10, markeredgecolor='k')\n",
    "    plt.plot(lda.means_[1][0], lda.means_[1][1],\n",
    "             'o', color='black', markersize=10, markeredgecolor='k')\n",
    "    \n",
    "    remove_frame()\n",
    "\n",
    "    return splot\n",
    "\n",
    "\n",
    "def plot_ellipse(splot, mean, cov, color):\n",
    "    v, w = linalg.eigh(cov)\n",
    "    u = w[0] / linalg.norm(w[0])\n",
    "    angle = np.arctan(u[1] / u[0])\n",
    "    angle = 180 * angle / np.pi  # convert to degrees\n",
    "    # filled Gaussian at 2 standard deviation\n",
    "    ell = mpl.patches.Ellipse(mean, 2 * v[0] ** 0.5, 2 * v[1] ** 0.5,\n",
    "                              180 + angle, facecolor=color,\n",
    "                              edgecolor='white',\n",
    "                              linewidth=2, zorder=2)\n",
    "    ell.set_clip_box(splot.bbox)\n",
    "    ell.set_alpha(0.5)\n",
    "    splot.add_artist(ell)\n",
    "    splot.set_xticks(())\n",
    "    splot.set_yticks(())\n",
    "\n",
    "\n",
    "def plot_lda_cov(lda, splot):\n",
    "    plot_ellipse(splot, lda.means_[0], lda.covariance_, 'red')\n",
    "    plot_ellipse(splot, lda.means_[1], lda.covariance_, 'blue')\n",
    "\n",
    "\n",
    "def plot_qda_cov(qda, splot):\n",
    "    plot_ellipse(splot, qda.means_[0], qda.covariances_[0], 'red')\n",
    "    plot_ellipse(splot, qda.means_[1], qda.covariances_[1], 'blue')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 124,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfe44223c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = dataset(case=0)\n",
    "lda = LinearDiscriminantAnalysis(solver=\"svd\", store_covariance=True)\n",
    "y_pred = lda.fit(X, y).predict(X)\n",
    "splot = plot_data(lda, X, y, y_pred, fig_index=1)\n",
    "plot_lda_cov(lda, splot)\n",
    "plt.savefig(\"lda1.png\")\n",
    "plt.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 125,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfe46676a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = dataset(case=1)\n",
    "lda = LinearDiscriminantAnalysis(solver=\"svd\", store_covariance=True)\n",
    "y_pred = lda.fit(X, y).predict(X)\n",
    "splot = plot_data(lda, X, y, y_pred, fig_index=1)\n",
    "plot_lda_cov(lda, splot)\n",
    "plt.savefig(\"lda2.png\")\n",
    "plt.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 126,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfe4528e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = dataset(case=2)\n",
    "lda = LinearDiscriminantAnalysis(solver=\"svd\", store_covariance=True)\n",
    "y_pred = lda.fit(X, y).predict(X)\n",
    "splot = plot_data(lda, X, y, y_pred, fig_index=1)\n",
    "plot_lda_cov(lda, splot)\n",
    "plt.savefig(\"lda3.png\")\n",
    "plt.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 288,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdfe4f940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-3.7993809561519996 -1.0860950482001916\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdfe83668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-2.3874573934917507 1.2542447404086878\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdf0287b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-4.017975556023045 -1.7678907165544553\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdfe33d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-1.7197176245022532 1.3717065180664494\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdf1b4668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-3.5029360979886377 -0.3119582959046854\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdf194748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-3.097390313312547 0.4874776112585333\n"
     ]
    },
    {
     "data": {
      "image/png": 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oUcLqaJRyKR6bfEDP+6gc+P57mDcP2reHxx+3OhqlXI5HJp9mzZrh6+uryUdlT2wsDB5sm8Hgs89Ah+wrlWUedZ3Pdfny5aNJkyZs2rSJhIQEfH19rQ5JuZIxY+DECVt3W9myVkejlEvyyJYP2Lre4uLi2LZtm9WhKFeyc6dtBoOGDeH5562ORimX5bHJp3379gCEhYVZHIlyGYmJMGgQeHnBF1+At7fVESnlsjw2+QQFBeHv78/q1autDkW5igkT4MABePVVqFHD6miUcmkem3y8vLx48MEHOXDgAKdOnbI6HJXbRUTAO+9AzZrw2mtWR6OUy/PY5APQoUMHAEJDQy2OROVqCQnQt6/t//PmgQ5QUSrHPDr5tGvXDi8vL00+6vbeegsOHrSNcqtTx+polHILHp18ihUrRqNGjVi7di3Xrl2zOhyVG+3YAe+9B3Xr2s71KKXswqOTD9i63mJiYtiyZYvVoajc5upVW3ebj4+tuy1PHqsjUspteHzy6dixI6DnfdQtvP46/PorvP02VK9udTRKuRWPTz6BgYEEBATokGv1T5s3w+TJ0KgRvPyy1dEo5XY8Pvl4eXnRoUMHDh06RGRkpNXhqNzg8mV44gnw84O5c/ViUqUcwOOTD0CnTp0AWLlypcWRqFzhuefg5Elby6dKFaujUcotafLBNtWOr68vy5cvtzoUZbWvvrItXbvC009bHY1SbkuTD1CwYEHuv/9+NmzYQFRUlNXhKKscPw5DhkDJkra52/RWCUo5jCafVN26dSMpKUkHHniqpCTbeZ6//7YNq77zTqsjUsqtafJJ1blzZ4wx2vXmqSZMgK1b4aWXoF07q6NRyu1p8kkVEBBAkyZNCA0NJT4+3upwlDNt22a7lqdWLZg40epolPIImnxu0K1bN2JjY/X22p7k0iV47DHb7AULF+qkoUo5iV2TjzGmkjFmqzHmN2PMTmNMNXuW72hdu3YF0K43T5GSYps+JzISpk/XWQyUciJ7t3w+A2aKSGXgfWCWnct3qEqVKlG9enWWL19OUlKS1eEoR5s0Cb77Dvr0gQEDrI5GKY/iY6+CjDH+QBBw/WztUmC6MaaciJyw134cLTg4mLFjx7J+/XoeeOABq8NRjrJli22W6qpV4dNP7Tqs+urVq5w+fZqoqCiuXr1KXFwc4eHh+Pn54efnR5EiRbj77rspWLCg3faplKuxW/IBSgNnRCQJQETEGBMJlAFO2HE/DvXoo48yduxYQkJCNPm4qwsX4NFHbed3Fi+GO+7IVjFRUVHs2LGD/fv3s3//fg4ePEhkZGSmrxUrUKAA5cuXp3r16lSvXp26devSpEkTChcunK14lHIlRkTsU5AxdYH5IlL9hud2AcNF5KcbnhsGDLv+eMCAAaWCg4PtEoO9DBkyhHPnzvG///2PPA6aRj8+Ph4/Pz+HlJ2bWV7vlBSC3niDErt3c2D4cM5k4QfGtWvX2LdvHxEREezfv59jx45x49+Pv78/AQEB3HnnnRQvXpxChQrh6+tL3rx5SUpKQkS4du0aMTExXLx4kYsXL3L69GnOnTuXVoaXlxfly5cnMDCQxo0bU7VqVbxdeG45y4+3RTy13u3bt898F4KI2GUB/IHLgE/qYwP8CZS73XZhYWGS20yYMEEAWbVqlcP2kRvr7QyW13v8eBEQ6dcvU6tfvXpVFi9eLL169ZKCBQsKIID4+/tLcHCwTJs2TTZt2iRRUVG3Led29Y6JiZHt27fLlClT5JFHHpGAgIC0/RQvXlyefvpp2bZtm6SkpGSpqrmB5cfbIp5ab8lKzsjKyhkWBhuAfqn/fwTYntE2ufEg/f777wLIk08+6bB95MZ6O4Ol9Q4NFTFGpGZNkdjY2666f/9+eeGFF6Ro0aJpiaBhw4by3nvvycGDB7OcCLJS75SUFNm1a5eMGTNGatSokbb/qlWryocffijR0dFZ2reV9HPucSxLPlWAbcBvwG6gekbb5NaDVK9ePSlYsKBcvXrVIeXn1no7mmX1PnpUpEgR23L06C1XSUpKksWLF0ujRo3+9YX/xx9/5Gj3Oal3RESE/Oc//5FixYoJIAULFpThw4dLZGRkjmJyBv2ce5xM5wu7DrUWkV9FpLGIVBaReiJyyJ7lO9Ojjz5KTEwMYWFhVoeicurKFejWzXafnv/9DypU+MfLV69e5dNPP6VKlSr07NmTPXv20L9/f7Zu3cqhQ4cYPnw499xzj0XBQ506dZg6dSpnzpxhzpw5lClThkmTJnHvvffy7LPPcvbsWctiUyq7dIaDdDz66KMYY/jyyy+tDkXlhAgMHAgHD8L48fDgg2kvJSYmMmPGDCpUqMCQIUOIiopizJgxREZGMnv2bBo3bozJRTNb+/r60q9fPw4cOMCqVato0KBBWvyjR48mOjra6hCVyjRNPukoXbo0bdq0YeXKlVy8eNHqcFR2ffghfP019OgBo0YBkJKSwsKFC6latSrPPvssycnJTJ48mcjISN5++238/f0tDvr2jDF07NiRzZs3s2LFCipUqMDEiROpXLky8+bN+8cIPKVyK00+t9G3b18SExNZtGiR1aGo7FizxpZwqlWDOXPAGLZu3Uq9evV4/PHHOX/+PO+88w6///47Q4cO5Y5sXu9jFWMMnTt3Zu/evcyZMwdjDP369aNFixYcOHDA6vCUui1NPrfRvXt3ChQowLx586wORWXV4cMQHAyFCsE33/BnbCx9+/aladOmHDx4kJdffpnjx4/z2muvUaBAAaujzRFvb2/69evHr7/+ynPPPceWLVsICgri7bffJjEx0erwlLolTT63cccdd/DII4+wa9cuDh8+bHU4KrPOn4eHHoK4OJJDQvho9WoqV67M/Pnzad++PQcOHOCDDz6gWLFiVkdqV0WKFGH69Ons2rWLqlWrMnbsWBo3bsyhQy477ke5MU0+Gejbty+Atn5cRUICPPwwHD/Omddfp+kbb/DSSy9RvHhxli9fTmhoKFWqVLE6SoeqW7cuu3btYvTo0ezZs4egoCCmTp2q54JUrqLJJwMtWrSgbNmyLFiwQGe6zu1EYNAg2LKF7U2bUn7CBHbt2sXw4cM5dOgQXbt2zVWj1xzJ19eX8ePHs3XrVsqUKcOLL75Iz549uXz5stWhKQVo8smQl5cX/fr148yZM6xevdrqcNTtjB8PCxawoVAhmm7ZQoUKFdiyZQsffvgh+fPntzo6SzRs2JDw8HB69uzJ0qVLCQoKIiIiwuqwlNLkkxmDBg3C29ubGTNmWB2KSod89RWMGcM+Y+h65QqjX3+dPXv20KhRI6tDs1yhQoUICQnh448/5tSpUzRu3Jj58+dbHZbycJp8MuGee+6hc+fOhIWFcfz4cavDUTe5FBJCUp8+/AE8X6YM32/dyrhx4/DVW2KnMcYwZMgQtmzZgr+/P3379uWVV14hOTnZ6tCUh9Lkk0nPPPMMIsLMmTOtDkXdYNNHH5G3Vy+uiDCja1dWHzhAw4YNrQ4r16pXrx67du2iUaNGvP/++zz88MPExMRYHZbyQJp8MumBBx7g3nvvZdasWVy7ds3qcDxeYmIiEwcNovJLL+Etwp633mL88uV6d9BMKFmyJOvXr6dPnz6sXLmSpk2bcvr0aavDUi7u4MGDWVpfk08meXl5MXjwYM6fP8+yZcusDsejnTlzhu7NmtFz1izuBK7MnEmbN96wOiyX4ufnx7x585gwYQIHDhygSZMm/PLLL1aHpVzY2LFjs7S+Jp8s6N+/P3nz5mX69OlWh+KxfvzxR1rUrs3YnTupCMj06ZR46imrw3JJxhheffVV5s2bx+nTp2nWrBnbt2+3OizlgkSETZs2ZWkby5OPV3y81SFkWokSJXjiiSfYsmWL/pE6WUpKChMmTKDb/fez4NIl6gG8+SY+zz1ndWgu78knn2TFihVcvXqVNm3a6CUFKsuOHDnC+fPns7SN5cmnzrhxtqvSXcSwYcMAmDRpksWReI7o6Gi6dOnCuNde44f8+WmUkgIjRoB2tdlNx44dWbduHfny5aNr164sWbLE6pCUC9m8eXOWt7E8+dwZHg69e4OLzB5QvXp1HnzwQZYtW6bDrp3gl19+oUGDBny/ahXbSpWiYWwsPPccvPceeMhsBc7SqFEjNm3axJ133sljjz2ms7mrTHPJ5HO2ZUtYtgz69nWZBPTyyy+TkpLCRx99ZHUobu27776jYcOGnPz9dw4HBhJ4+jT07w9Tp2ricZBq1aqxceNGSpYsyeOPP643U1SZsnnzZircdIfgjFiefA6MGAFdu8LChdCnj0skoDZt2lC7dm1mzZpFVFSU1eG4HRFh4sSJdOnSBT9vbyJbtqTi3r3w2GPw+efgZfnH1q1VrlyZjRs3cs8999C3b19mz55tdUgqF/vrr784cuQIzZo1y9J2lv8Vi4+P7U6TDz8MixbZuuBy+T1IjDG8/PLLxMbGMnXqVKvDcStxcXH06tWL0aNHE1itGscaNCBg/Xro3h3mzwdvb6tD9AgVKlRg48aNlC1bloEDB+p0PCpd17vcXC75AJA3L4SEwCOPwOLF0KtXrk9Ajz32GBUrVmTy5MlER0dbHY5biIyMpFmzZoSEhNCzSxd2linDHWvW2Fo8ISGQJ4/VIXqUcuXKsXHjRsqUKUP//v1ZunSp1SGpXOh68mnevHmWtssdyQdsXywLF9ruPrl0qe3fXDyTgI+PD2PGjOHy5ctMmTLF6nBc3qZNm6hXrx579uxh/OuvE5KQgE9oqK0r9ssvwcfH6hA9UpkyZVi7di3+/v706tVLh2Grf9m8eTN33nknlStXztJ2uSf5gC0BffWVreWzfDl07gxXrlgdVbp69+6trR87mDlzJm3atCEuLo4VX33F6G3bMGvWwIABMGeOyySe5ORkt7xdQaVKlfjhhx8oVKgQPXr0YP369VaHpHKJK1eusGfPHpo1a5ble2XlruQDti+aL7+Ep56C77+H+++HixetjuqWtPWTM0lJSbzwwgsMHjyY0qVLs3PVKjpPngzr1sGzz9oGF+TyczyXLl1i4cKFPP744/j7+1O3bl0iIyOtDsvuatSowZo1a8ibNy+dO3fWi6wVANu3byc5OTnL53sgNyYfsH3hfPYZjB4NO3ZA8+Zw6pTVUd3S9dbPf//73yxf4evJoqKi6NChA9OmTaNly5bsXrKEak89Bbt3w5gx8PHHuXpUW0pKCm3btqVEiRI8/vjjLFy4kHLlyvH666+Tx03PTdWtW5fVq1cjInTq1Ilff/3V6pCUxa63glu2bJnlbXPvX7cxtjtT/ve/8PPP0KQJ5MKJD318fJgwYQJ///03b731ltXhuIRff/2Vhg0bsnbtWp5++ml+mDSJYg89BEePwvTp8Pbbueo6ntjYWFasWMHgwYPT5vXz8vKiSJEidO3alS+++ILTp08THh7OuHHjuOuuuyyO2HGaNm3K4sWLuXz5Mu3bt+fs2bNWh6QstH79egoXLkydOnWyvrGIWLqEhYVJhubNE/H2FilWTGTDhozXd7KUlBRp3LixeHt7y88//5ypbTJVbzc0fvx4KVy4sHh7e8u0adMkZf16kcKFRfLmFfn6a6vDS3Pq1CmZMmWKtGvXTvLmzSuAAPLII49kqzx3O96zZ88WQGrXri2XL19Odz13q3dmeUK9Y2JixMfHRzp37nzj05n+7s+9LZ8bPfkkrFxpG/32wAO26z1yEWMMkyZNIjk5mZEjR1odTq4kIkydOpUxY8ZgjCE0NJTn8+fHtGsHKSkQGgo9e1oW37Vr1/jpp58QEQB++uknXnzxRTZs2EDLli356KOP+O2331i8eLFlMeYm/fv3Z9y4cezbt4/u3bvrPa480ObNm0lKSqJ169bZKyArmSq9BZgA/AzsA3YCbTK7bZZ+IezbJ1K6tAiIjBkjkpKS+W2dIDg4WABZt25dhut6wi+j6xISEuSpp54SQEqVKiW/Hj4sMmKE7TiWLSty4IAlcZ05c0ZmzZol3bt3l4IFCwogB1JjiYqKkm+++UZiYmLssi93PN4pKSnyzDPPCCC9e/eW5OTkf63jjvXODE+o94gRIwSQPXv23Ph05vNGVlZOtxDoAORL/X9tIArwy8y2WT5IZ87Sr2yHAAAgAElEQVSI1KtnC/2xx0RiY7O2vQMdO3ZMfH195b777pP4+PjbrusJH04RkfPnz0uLFi0EkHbt2sk3X34p0qWL7fg1aSLy119OjyklJUVat26d1pXm5eUlTZo0kXfeeUdOnz7tkH266/FOSkqSbt26CSCjRo361+vuWu+MeEK969WrJ8WKFbv5R4dzk88/CrQNYvgbuCcz62frIMXGinTvbgs/MFDk2LGsl+Eg48aNE0DGjRt32/U84cN54MABKVeunADy4osvSuKvv8rle++1HbfHHxe5etXhMURFRUlISIg8+eST8s4776Q9P2jQIOnVq5csWLBAzp8/7/A43Pl4x8XFScOGDQWQuXPn/uM1d6737bh7vaOjo8XLy0sefvjhm1+yNPkMBPZkdv1sH6TkZJG33hIxRqRoUZHQ0OyVY2fx8fFStWpV8fX1lSNHjqS7nrt/OJctWyYFChQQHx8fmTlzpsjKlSJFikiKMSLjxjm0yzQyMlLee+89adGihXh7e6e1cG7xh+I07n68z549K2XKlJE8efLIxo0b055393qnx93rvWLFCgFk6tSpN7+U6VxhxJYwbssYswmoms7LdUTkj9T12gJzgAdE5JYXARhjhgHDrj8eMGBAqeDg4AxjSM+dO3dS6/338YmN5egTT3CsVy/Lrw85cOAAI0aMoFatWrz77rt43SKe+Ph4/Pz8LIjOsZKTk/nyyy9ZtGgRhQsX5vVXX+XhvXupsGgR1woWJPyll/i7SRO77jM+Pp79+/dTt25dvL292bFjB2PHjsXX15fAwEAaNGhAgwYNKFGihF33m9UY3fF43+jYsWMMHz4cHx8fpkyZwt133+0R9b4Vd6/3Z599xjfffMOMGTMoV65c2vPt27fP/DUSWclUt1uAlkAkUDsr29nlF8LRoyK1a9sach06WHIe4WaDBw8WQCZPnnzL193xl9HFixelffv2Akj9+vXlVESESLt2tuNSt67I8eN2q/eJEyfk448/lo4dO4qfn58AsmXLFhGxdQOFhYXJVSd062WWOx7vW/nuu+/Ey8tLqlSpIpcuXfKYet/M3esdGBgo/v7+kvLvHgzndrsBLVITT52sbmu3gxQbK9K3r61KAQEia9bYp9xsiomJkQoVKoivr68cPHjwX6+724dz7969Ur58eQFk4MCBkrB8uYi/v+14PPVU2vkde9S7bdu2aV1pPj4+0rp1a/nwww/lzJkzOS7bUdzteN/ORx99JIDcf//98t1331kdjiXc+Xj/+eefAsijjz56q5cz/d1vrxkbZwG+wJwbJpfrIyIH7FR+xvLnh7lzoV0727xg7dvD8OEwYYLtlg1OVqBAAb788kuaNWvGE088wbZt29y2Gb5w4UIGDRpEUlISn0+dysDffsN06waFC8P//me7JUI2nDt3jrCwMFatWkXp0qX58MMPAQgKCqJMmTJ07NiRBx54gMKFC9uzOiqHXnjhBX755RdmzJiBn58fnTp1sjokZUdr164FoH379jkrKCuZyhGLQ34hHDsm0qiR7Vd3nToie/fafx+ZNHbsWAFk0KBB/3jeHX4ZxcXFpXUv3nXXXbJ33jyRGjVs73vz5iInTvxrm4zqfeLECXnrrbekQYMGYowRQIwx0rVrV0dVwync4XhnxbVr16RNmzYC2AaceBh3Pt59+vQRQE6dOnWrl53b7ZaTxWEH6do124Wo3t4iPj4iY8eKJCQ4Zl+3kZSUJO3atRNAZs2alfa8q384f/75Z6lZs6YA0r5lS4l58UXb++ztLTJ+vEhS0i23u7nely9flqVLl6adn9m0aZMAUqhQIenZs6fMnTtX/soF5/ByytWPd3acP39eAgICJE+ePGnn4zyFux7vlJQUCQgIkBo1aqS3iiafNLt3i9SqZatqzZq2x0524cIFKVu2rPj6+srWrVtFxLU/nPPmzZP8+fOLl5eXzHnqKUm57z5Ju+YqPPy224aGhsovv/wikyZNkjZt2kiePHkEkNDUofKJiYmyfv16uXbtmjOq4jSufLxz4pNPPpH8+fNLyZIl0/ul7Jbc9Xjv3btXABk2bFh6q2jy+YeEBJE337T9MvfyEvnPf0Siohy/3xuEh4dL/vz5pXjx4vLrr7+65IczOjo6rcldtWRJOfXww7brrHx9RSZMsLU2MxAUFJQ2WMDPz086duwoH3/8sZw9e9YJNbCOKx5vewgLC5OQkBABpEGDBrlqBKIjuevxfv/99wWQNekP6NLkc0v79v3/uaASJURmz7ZdrOokq1atEm9vbylfvrwsXLjQafu1h7Vr10rp0qXFC2RqzZqSXLy47X1s2lTkFjN5R0ZGyowZM6Rz587Sr1+/tOf79esnzz77rHz33XcSm4umRnI0d/0yysj1eo8aNUoAGTBgwK2G57oddz3ebdu2FT8/P4mLi0tvFU0+6UpOFpk79/+HATdsKLJtm9N2P3PmTAGkTJkyLvFr/8qVK/Lcc88JIG39/ORcmTK2961kSZH58/+RvE+ePCmvvvqq1KpVK6114+3t/Y8p1931jzIjnl7vpKQk6dChgwAyffp0i6NyPHc83rGxsZI3b15p167d7VbL9He/a9xSwZ68vKBvX/jtNxg61HbnzMaN4eGH4fBhh+/+qaee4r///S+RkZG0bt06V9+M6/vvv6d27dr89PHHbC5WjLXx8ZQ4exZGjIDffuNix44sXLSIy5cvAxAdHc3EiRM5c+YMffr0YdGiRZw/f54VK1ZYXBNlNW9vbxYuXEilSpUYOnQoGzdutDoklUUbN27k2rVrOR9ifV1WMpUjFst/Ifz8s0iPHrZf815eIv36OWWi0utT0ZctW/aWF6Fa6dSpUxIcHCz3gizy9rbNxwaS8sgjsuebb2T8+PHSpEkT8fLyEkBCQkJExDYSZseOHZKUzkg3Eff8RZgZWm+bQ4cOSYECBSQgIMBhM4jnBu54vF944YV/3HYkHdryybT77oMlS2DHDmjVynahaqVK8MQTcPCgw3bbrVs3Zs+ezenTp2nSpAlhYWG2F0Tg5DbY85XtX8l47j17iY+PZ9KkSfSsXJmuX3/Nb8YQnJyMad8ewsPpFBtLnYcf5rXXXmP//v1069aNWbNm0apVK8B2U70GDRrg7e3ttJiVa6lWrRpz5szhr7/+Ijg4mMTERKtDUpkgIqxcuZKyZctSvXp1u5Spyee6Bg1g3Trb0ro1fPUV1KwJnTvDxo0OSQL9+/fn+++/x8vLi44dOzJq6BASp9SD+V0gdITt3+n1ITrS7vu+UXJyMvPnzaNf2bJUe/ll5sfFcR7oULQo3Zo2td1lNCiIhx56iJdeeom1a9dy8eJFli5dyoABA/D393dofMq9PPLIIwwbNowtW7YwYsQIq8NRmXD48GGOHz9O586duWEWmxyx1/Q67qNNG9uyaxe89x4sWwbffQfVqsEzz0CfPlCkiN1217p1a3bt2kXv3r15b8qnrLvbm88e8iPortTbEl86Dgt6wHM7IRsHXUTYfTKKExdiKXfnHdQrWzTtw5OUlMQ3c+bw+xtvUP/PP7kbGAr8lrpt3itXeLB4cUQEYwxDhgyxS52Vevfdd9m1axdTpkyhcePGPProo1aHpG5j5cqVAHTu3NluZWrLJz3169u64375xTYw4cwZeOEFKFUK+vWDH36ApCS77KpixYpsWTiJV5vnI+JsMvVmxvLMd1c5G5MCkgRRJyBye5bLPRUVR9v/bqT359sZu+IQvT/fTtv/buTQ0Uhm9+3LC3fcQb2nn2bUn39yd968TAZiAwJ4+umn+fbbb7l06RLffvut3X7pKHVdnjx5CAkJoWTJkgwcOJDDThjso7Jv5cqVFChQgJYtW9qtTE0+GalcGSZPhtOnYc4cqFED5s2zTWB6zz22hPTTTzlORHliIpnwYBH2DL6D5mW9+Sw8kXJTrvDMd1c5fAG4dCxL5YkIT87eycmLcSQmC1djYrgr9FPyvd6Z3pXKMnD+fD69do3FRYsS8/HHVI2O5tChQ/xx9iyfffYZXbp04Y477shRnZS6nbvuuouQkBDi4+Pp0aMHMTExVoekbuHChQts27aNdu3a4evra7dyNflkVv78thbPjh221tDYsVCoEEybBi1bQokSttmbv/wSsjN8uti9kJxIrQBvNvTNz7eP5aNOSVsSqj71AnWfHMfEiRPZvn17pk7S7jh2gb93beHB7z7iw0/6U+2jYDbt+Y7V8Vc4CbQteTezx49n0NGjFBwyBPLlo1q1atrKUU7VokUL3nvvPX755RcGDhxou/hQ5SqrV69GROza5QZ6zid7qlSBN9+0JaCICFi5ElatgpAQ2wJw773QrJltCQqynTPKly/9Mss0giJl4dJxDEl0qZKHzpV92PwHzPvFl8WHzjJ69GgAfH19qVSpEpUqVaJYsWIULFgQr/h4Cp89y7XDhzn1xx8cjo8nP/AxkAIc9vYh9o6ixAV2IKZZTwY/XJue9Uo7+I1SKmPDhg1j+/btLF68mMaNG/PSSy9ZHZK6wcqVKzHG0LFjR7uWq8knJ4yBunVty5tvwp9/wpo1tm64zZth/nzbAraLWytWtI2gu/deysTGQkIClC4NxYrZ7n3z+BL46hGIPgleeTApiTQPKkfzDxYzPdGPiPXr2ffjj5wLDyclMpICBw9SAbgTWAgswXZHP4B8QLW8+RlSvQ1bAx8k2r9cWth5MJS7U7vUVO5gjGHWrFlpt5+vV68ezZs3tzosBVy7do01a9bQsGFDu49q1eRjTyVL2mZP6NvX9vjcOdi6FfbtgwMHbMs330BKClUBPvnk32UUKABGQGLBeIP8Av8pjx/QJHU5AawCOgLlvLw4W6YMM0+coHyRIvynaVMeevJJmnfuTKdPdrDmYhzJKf/fleHtZShTLD/1yhZ17HuhVBYUKlSIpUuX0qBBA4KDg4mIiOCuu+6yOiyPt27dOmJiYujSpYvdy9bk40j+/tCtm225Lj4eTp1i19Kl1Pf3h1OnICoKLl+2LTEx/7ymyMuLxDvuYEt8PKv++ovVkZEcPn8egA9HjWL4m29yt68vx0+epEyZMv84ZzN/QAOenL2TPy7Fkcfbi8TkFMoUy8/8gQ313I7KdapXr86sWbPo1asXjz32GOvWrcPHR7+irLRkyRIAevToYfey9cg6m58fVKzIpcBA262+0xEfH5922+0+jz1GyLJlAJQsWZIBAwbQqVMn7r//fkgdfVK2bNl/lXFP0fysG9Yy3et8lMptHnvsMbZu3cq0adMYPXo077//vtUheazExESWL19OrVq1qFy5st3L1+STS6SkpBAREcGqVatYtWoVV69e5cCBAwA8/vjjVK9enU6dOhEYGIiXV+YHKRpjqF+uGPXLFXNU6ErZ1YcffsiuXbv44IMPaNKkCd1u7DlQTrNhwwYuXbrE0KFDHVK+Jh+LnT1rG8UWGhrKX3/9BUDhwoVp3749CQkJ+Pr60rlzZ7sPc1Qqt8qbNy9ff/01QUFB9O3bl/DwcCpWrGh1WB5n6dKlgG06JEfQ63ycSET45ZdfmDRpEidPngRsJ1r/97//ceeddzJy5Eg2btzI+fPnCQkJsesFXUq5ktKlS7Nw4UJiYmLo0aMHcXFxVofkUZKTk1m2bBnVqlWjatWqDtmHtnwcLD4+ng0bNqR1px0/fhywdaU9/fTT3HHHHURGRurknErd5IEHHuCtt97ijTfe4LnnnmP27Nl6vtJJNm3axPnz53n22Wcdtg9NPg4QExNDwYIFARgyZAhz5swBbIMChgwZQqdOnUi6YToeTTxK3dprr73Gtm3bmDt3Lk2bNmXQoEFWh+QRro9yc1SXG2jysYukpCS2b9+e1rqJjo7m5MmTGGPo06cPVatWpVOnTlStWjXtl9uaNWssjlqp3M/Ly4sFCxYQFBTE888/T1BQEEFBQVaH5dYSExP5+uuvqVKlCjVq1HDYfjT55MD58+d58cUXCQsLIyoqCrC1Yjp06EBsbCwFChSgdevWtG7d2uJIlXJdxYoVY8mSJTRt2pQePXoQERFB0aJ6kbSj/PDDD2nfbY7s5tQBB5kkIuzZs4d33nmHnTt3AlCkSBFCQ0OpUKECY8eOZceOHZw9e5a5c+dSoEABiyNWyn3Uq1ePqVOncuLECZ588klSUlKsDsltLViwAIDevXs7dD/a8rmNmJgY1q1bx6pVq1i9ejVnzpwBIDo6mgYNGpAnTx4iIyPTzu8opRzn6aefZsuWLXz55Ze8++67aRPtKvuJiYlh+fLlNGvWjPLlyzt0X5p8bnL+/HlKlCgBwOjRo5k+fToAVapUYdiwYXTq1IlmzZqlra+JRynnMMYwY8YM9uzZw5gxY2jYsCFt27a1Oiy3smzZMq5evcoTTzzh8H3ZNfkYY1oB64AXRWS6Pct2lISEBDZt2pQ2WODChQucO3cOHx8fnnzySSpVqkSnTp2oUKGC1aEq5fHy58/P0qVLqVevHr169WLPnj2UKlXK6rDcxoIFC8iTJw89e/Z0+L7slnyMMQWB94BQe5XpSNHR0fTv35+1a9dy5coVAO655x6Cg4O5cuUKRYoUoX79+tSvX9/iSJVSN6pcuTJz586lR48eBAcHs2HDBvLkyWN1WC7vzJkzrFu3jq5du1KsmOOn47LngIP/Ah8AF+xYpl0kJyezbds2Xn/9ddavXw/YprAJDw+ndu3aTJgwgX379hEZGcmMGTMoUqSIxRErpW6ne/fuDB8+nK1btzJy5Eirw3EL8+fPR0To06ePU/Znl5aPMaYDUERElhhjHrJHmTkVFRXFmjVrWLVqFWFhYVy4cCHt+datW2OM4ciRIzqFjVIuauLEiezYsYOPPvqIxo0bExwcbHVILislJYXPP/8cf39/HnrIOV/hJjP3TDfGbALSm+CnDvAd8ICInDPGzAV2p3fOxxgzDBh2/fGAAQNK2eNDIyKcO3eOgIAAAObOncuiRYsAqFChAvXr16dBgwZUqVIFb2/vHO8vp268ZYIn0Xp7FkfX++LFizz//PPEx8czdepUSpfOHbeGd7XjvWfPHl599VWCg4MZMGBAtstp37595i8MEpEcLUAz4By2G2yeAK4AF4G3MrN9WFiYZNeVK1dkxYoVMnjwYCldurTky5dP4uLiRETk0KFDMnPmTDl16lS2y3eknNTblWm9PYsz6r1+/Xrx8vKSatWqSUxMjMP3lxmudryDg4MFkCNHjuS0qEznjhx3u4nIZiBtcrKMWj72EBcXR48ePVi/fj0JCQkAVKxYkaeffprY2Fjy5ctHtWrVqFatmqNCUErlEq1atWLChAmMGjWKwYMHs2DBAp2ANAvOnTvHN998Q9u2bZ1664pcf51PYmIimzdvZvXq1TRv3pwuXbqQP39+Tp06RbNmzejUqROdOnVyyJ32lFKuYeTIkWzdupWFCxfStGlThgwZYnVILmPevHkkJiby1FNPOXW/dk8+ItIvp2WcO3cubVaB77//nr///huAS5cu0aVLFwD27t2bK87dKKWsZ4xh3rx51K1bl6FDh1K3bl0aNmxodVi53vWBBnfeeafT7xibK+Z2S0lJ4eeff057PGfOHAYMGMDSpUupVq0a48aNIzw8nC+++CJtHU08SqkbFSlShKVLl+Lt7U3Pnj3TRriq9IWFhXHkyBEGDhzo9JG/lne7TZo0ib59+3L+/HkuXLhA0aJFCQ4O5u677+bBBx9Mm+pGKaUyEhgYyCeffMKAAQN49NFHCQsL0wtQb2Py5Ml4e3vz3HPPOX3flrd8fvjhB0qUKMGIESNITEwEoHz58vTp00cTj1Iqy/r378+zzz7Ljz/+yPDhw60OJ9c6ePAga9eupWfPnpYMUbe85TN//nynXVGrlPIMU6ZM4fDhw0ybNo1atWrpHVBvYcqUKQAMHTrUkv1b3vLRW0grpewtT548LF68mHLlyjFkyBA2b95sdUi5yvnz51mwYAGNGjWybGCG5clHKaUcoUSJEnz77bfkzZuXHj16EBkZaXVIucbkyZOJj49n2LBhGa/sIJp8lFJuq1atWsyfP59z587RrVs34uLirA7JctHR0Xz88cfcd999dO/e3bI4NPkopdxa9+7defPNN9mzZw/9+/e/Pi2Yx5o+fTp///03r776qqWXrFg+4EAppRxtzJgxHDhwgK+//ppKlSrxzjvvWB2SJa5cucLkyZMpX748vXr1sjQWbfkopdyel5cX8+fPp379+owfP55Zs2ZZHZIlPv74Yy5dusQrr7xi+fVPmnyUUh4hf/78rFy5kvLlyzN48GC+//57q0NyqqioKN59913KlStH//79rQ5Hk49SynMEBASwevVqChYsyCOPPMK+ffusDslp3n33XaKjoxk3bhx58+a1OhxNPkopz3LfffexfPlyEhIS6NSpE6dPn7Y6JIc7ffo0U6dOpVatWvTu3dvqcABNPkopD9SyZUvmzJnD6dOn6dixI9HR0VaH5FBvvPEG8fHxTJgwAS+v3PG1nzuiUEopJ+vduzcTJ05k//79dOrUidjYWKtDcoidO3cye/Zs2rRpQ8eOHa0OJ40mH6WUx3rllVd4+eWX2bp1Kz169ODatWtWh2RXKSkpPPfcc/j4+DBt2rRcdYdXTT5KKY9ljOH9999n0KBBrFmzhieeeILk5GSrw7KbWbNmsXv3bl588UWqVatmdTj/oBeZKqU8mjGGGTNmcPnyZRYvXkyhQoWYOXNmrjk3kl1//vkno0aNomTJkrzxxhtWh/MvmnyUUh7P29ubBQsWEBMTw6xZszDG8Nlnn7lsAhIRnnnmGS5dusTSpUspVKiQ1SH9i2u+s0opZWd58+Zl2bJltGvXji+++IKBAwe6bBfcV199xbfffkuvXr0snTz0djT5KKVUqnz58vHtt9/SsWNH5s6dS//+/V0uAUVGRvLCCy8QEBDAtGnTrA4nXdrtppRSN/Dz82PZsmX07NmTL7/8kmvXrjFv3jx8fX2tDi1D165dIzg4mKioKFauXEnx4sWtDild2vJRSqmb+Pr6smTJEnr06EFISAgdO3bk8uXLVoeVoZEjR7Jjxw5GjhzJQw89ZHU4t6XJRymlbiFv3ryEhIQwZMgQfvzxR1q0aMGZM2esDitdX331FVOmTKF58+aMHz/e6nAypMlHKaXS4e3tzfTp0xk/fjz79++ncePGuXIy0vXr19O/f39KlSrFokWL8PHJ/WdUNPkopdRtGGMYPXo0c+fO5ezZszRu3JiQkBCrw0pz6NAhHn74YfLly0doaCh333231SFliiYfpZTKhL59+7JhwwYKFy7MY489xsiRI0lMTLQ0poMHD9K6dWtiY2NZunQpNWvWtDSerNDko5RSmdSkSRPCw8Np1KgRH3zwAc2aNePo0aOWxLJ3715atWpFdHQ0S5Ys4f7777ckjuyyW/IxxgwxxvxsjDlojNlvjPGzV9lKKZVb3H333WzcuJGRI0eya9cuAgMD+eKLLxARp8WwatUqWrRowZUrV1i+fDldu3Z12r7txS7JxxjTFXgcaCQiNYD7AWvbo0op5SB58+blvffeY926dRQtWpSnnnqKVq1acejQIYfuNzk5mYkTJ9KlSxfy5MlDWFhYrrpNQlbYq+UzAhgrIpcBROSciLjWZcFKKZVFrVu3Zv/+/TzzzDNs2rSJwMBAhg4dSlRUlN33dezYMdq2bcvo0aO577772LFjB61atbL7fpzFXsmnGlDPGLPFGLPbGPOCncpVSqlcrWjRonz66ads376dwMBApkyZQr9+/XjllVc4depUjsu/fPkyr7/+OtWqVWPjxo08//zz7Nq1i4oVK9oheuuYzPRTGmM2AVXTebkOcAgIAZ4BCgMbgVdEZPUtyhoGDLv+eMCAAaWCg4OzHrmLi4+Px8/P806Lab09i6fVW0TYunUr8+bNIzIyEi8vLxo2bEi7du2oU6dOlt6LyMhIvv/+e1avXk1cXBzlypXj2WefpXbt2g6sQc60b98+03ery1TyybAQYw4CL4jIj6mP3wfiROTNjLZds2aNtG/fPscxuJo1a9ag9fYcWm/PEhoaSlJSEjNmzCA0NBQRIV++fLRq1YoGDRoQFBRE6dKl8ff3x9vbm4SEBP766y+OHj3Kjh07WL9+PQcOHACgatWqjBw5kieeeMIVLh7NdPKxV00WAg8CP6aOcmsJvGunspVSyqV4eXnRuXNnOnfuzMmTJ1m6dCkrV67khx9+IDQ0NMPt/f39GThwIL169aJ169Yue1+h27FX8pkMfGaMOQwIsFhEvrFT2Uop5bLKli3LsGHDGDZsGAkJCRw4cIB9+/Zx9uxZzp07B9hGzxUrVowKFSoQGBhI5cqVMSbTjQiXZJfkIyJXgSftUZZSSrkrX19f6tWrR7169awOxXLu15ZTSimV62nyUUop5XSafJRSSjmdJh+llFJOp8lHKaWU02nyUUop5XSafJRSSjmdJh+llFJOp8lHKaWU02nyUUop5XSafJRSSjmdJh+llFJOp8lHKaWU02nyUUop5XSafJRSSjmdJh+llFJOp8lHKaWU02nyUUop5XSafJRSSjmdJh+llFJOp8lHKaWU02nyUUop5XSafJRSSjmdJh+llFJOp8lHKaWU02nyUUop5XSafJRSSjmdJh+llFJOZ5fkY4ypYIxZZ4zZa4z5xRgzyRijiU0ppdQt2StBfAh8KyKBQCDQDnjQTmUrpZRyM/ZsnRRO/TcfkAc4a8eylVJKuRF7JZ+hQE9jzBngDDBfRPbYqWyllFJuxohIxisZswmoms7LdYBngSgR+cAY4w/8CLwgIj/eoqxhwLAbngoXka5ZjtzFGWOGich/rY7D2bTenkXr7VmyUu9MJZ9M7PAKcK+InEt9/AEQJyJjM7HtKRG5J8dBuBitt2fRensWrXfG7NXtdgzokLrzO4A2wEE7la2UUgSvwXsAAAQZSURBVMrN2Cv59AWeNsbsB3YD3wNL7FS2UkopN+Njj0JSBxc0zebmHtcvmkrr7Vm03p5F650Bu5zzUUoppbJCZyFQSinldJp8lFJKOV2uST7GmCHGmJ+NMQeNMfuNMX5Wx+QsxphWxphkY8zzVsfiDMaYCanHep8xZqcxpo3VMTmKMaaSMWarMea31LpWszomRzPG+BljlqfWea8xJswYU87quJzJGDPWGCPGmBpWx+IMxhhfY8x0Y8wRY8whY8yCjLaxy4CDnDLGdAUeBxqJyOXUC1UTLQ7LKYwxBYH3gFCrY3GiTcA4EblqjKkNbDDG3CUi8VYH5gCfATNFZK4x5hFgFtDY4picYSYQKiKS+qNqJrY5H92eMSYIaAREWh2LE70LpACVU4/5XRltkCsGHBhjNgNvishaq2NxNmPM58Aa4CFgt4hMtzgkp0qd/TwaqCYip6yOx55Sf0T9BtwpIknGGINtzsNGInLC0uCcyBhTD1gkIhWtjsXRjDG+wAagN7AeeEhE3Pqax9RrO08D94jIlcxul1u63aoB9YwxW4wxu40xL1gdkDMYYzoARUTEk6+J6g/87m6JJ1Vp4IyIJAGI7ZdeJFDG0qic7wVgpdVBOMnbwAIROW51IE5UAbgIvJ76/b3JGNM2o42c0u2WibnhfLBVoAW22bE3GmOOishqZ8TnKJmo97vAA86LyDkyqreI/JG6XltgLG74Htzg5q4FY0kUFjHGjAYqAc9YHYujGWMaA/WBUVbH4mR5+L/27p41ijCK4vj/gI2NjRpQVkzSJGgr2qjbGFKFgFZCgk0+goWd2vkpNCBqYWEpgnZWNiGECCKY+NIlBDEgWIRjMVNE0DXNPjPZOb9yloG7zAxn9z6XZ2ASeG/7Tt1Kfy3pnO2tf51UJHxsXxn0uaQvwDPbe8COpJfAReBQh8+g7y3pMnAKeFd1YzgBzEk6eZA98drsf9cbQFIfeATM2f4w/Koa8RXoSTqyr+12ho6sBUi6DVwHrtn+2XQ9BfSBaWCjfqZ7wCtJS7ZHeU33M9V6zxMA26uSNoDzVC3Iv2pL2+0p9cvn6im3PrDaaEVDZvut7THb47bHqbYjunvYg+cgJF0FHgPztkf2Otcb7a4AC/WhG8BmF9Z76t3rbwIztr83XU8Jth/YPr3vmf4GzI548GB7G3gDzAJIOgtMAAN/VLZl4OAo1VTQBao2xXPb9xotqjBJy3Rk4EDSR+AYf75wcNH2WkMlDY2kKWAZOA78AG7ZXm+0qCGT1KP61/cJ2K0P/7J9qbmqypO0SQcGDgAkTQIPqe7zPeC+7RcDz2lD+ERERLe0pe0WEREdkvCJiIjiEj4REVFcwiciIopL+ERERHEJn4iIKC7hExERxSV8IiKiuIRPREQU9xu11zG6cMMsPAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdf2b7240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-3.73111120794864 -0.8928205071215904\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdf32a978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-2.5704445486905723 1.1264527201007783\n"
     ]
    },
    {
     "data": {
      "image/png": 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CPEbhwoU5c+YMsbGxRkfJEKUUuXPnxsvLK1PtOHzxCQwMJEuWLGzdupX333/f6DjCUWkN/fub/j91qkyjI57I3d2dF198kdTUVLsZflNK3X9klsMXn2zZslGpUiUiIiJITU3NVDdRiEf6+Wf49Vd48014+WWj0wg74qzvSWY7aqWUp1JquVLqT6XUAaVUuFKqqLnaz4waNWoQFxdHdHS00VGEI7pzx3RJdY4cMGaM0WmEsAvmLrnfAKW11n7AL/c+NlzNmjUB2Lp1q8FJhEOaMcM0Hf7QofDcc0anEcIumK34aK0Ttdar9f8PXu4CrLMY+BNUq1YNpZQUH2F+ly+bejtFisB77xmdRgi7YclzPn2BlRZsP91y585N+fLl2bZtG1prs5wsEwKADz+E69fhm2/A09PoNELYDWWJqyyUUkOBpsCrWuv4fz3XH+if9nG3bt0KhISEmD3Dv3355ZesWLGCOXPmUKBAAYvv70kSExPxdMI3K0c67hwnTlC1Tx/iXnqJ3ZMnP/YKN0c67oyQ43YuDRo0SP9f9lprsz6AgcBeIHd6tg8PD9fWsHjxYg3o2bNnW2V/T2Kt47Y1DnPcqala16ihtVJaR0Y+cXOHOe4MkuN2OumuFWa94OBer6YdUE9rHWfOtjOrRo0agFx0IMzk++9h2zbo2RP8/Y1OI4TdMds5H6VUQWAycALYfO+8yh2tdRVz7SMzvL29KVWqFNu2bTM6irB3N2+aLq3Olw/GjjU6jRB2yZxXu53VWiutdQmttd+9h00UnjQ1a9bk5MmT/P3330ZHEfZszBjTBKLjx0PevEanEcIuOdWttWn3+2zZssXgJMJuHT1qmj6nQgXo3t3oNELYLacqPnXq1AFg48aNBicRdklrePdd0xLZM2aAq6vRiYSwW05VfAoUKEDp0qXZuHGj3UzkJ2zIsmWwYQN07QqBgUanEcKuOVXxAahbty5///03x44dMzqKsCfx8aZZq595xrRYnBAiU5yu+Lz66quADL2JDBozBs6cgdGjwdvb6DRC2D2nKz61atXCxcVFio9Iv+ho08qk/v7Qu7fRaYRwCE5XfPLkyUNAQACbN28mNTXV6DjC1qWmQo8ekJICX38NWRx+CSwhrMLpig+Yht5iY2M5cOCA0VGErZs9G3bsgD59oFIlo9MI4TCctviAnPcRT3DxIgweDC+8IDMZCGFmTll8qlevjoeHhxQf8Xj9+0NcHEyfDrlyGZ1GCIfilMUna9asVK1alW3btnHnzh2j4whbtH49LFoETZpAy5ZGpxHC4Thl8QHT0Ft8fDw7d+40OoqwNQkJ8M47kC2baSYDWXxQCLNz2uLToEEDAMLDww1OImzOmDHw11+me3qKFDE6jRAOyWmLT0BAAF5eXqxevdroKMKWREbCJ5+Y7un53/+MTiOEw3La4uPi4sJrr71GVFQUZ8+eNTqOsAVJSdCtm2mY7dtvwc3N6ERCOCynLT4ADRs2BGDNmjUGJxE24eOP4eBB+OAD8PMzOo0QDs2pi0/9+vVxcXGR4iPg8GH46CMoWxaGDTM0itaaRYsWceTIEUNzCGFJTl188ubNS2BgIBs2bODu3btGxxFGSUkxDbelpJiG2zw8DIty6dIlWrVqxRtvvMGgQYMMyyGEpTl18QHT0NvNmzfZvn270VGEUT77DHbvNt1UWsXYld9btWrFsmXLCAkJYd68eYZmEcKSnL74NGrUCJDzPk7r2DEYPhxKljQNuxkgISHh/v8//fRTwsLCCAsLI3/+/IbkEcIanL74+Pn54e3tLZdcO6O04bbERNMEolmzWj3CypUrKVGiBBs2bACgcuXKhISEWD2HENbm9MXHxcWFhg0bcvjwYc6cOWN0HGFNU6ZARAS8+y7UrGnVXcfFxdGlSxeaNWtGQkICN2/etOr+hTCa0xcfgMaNGwOmv0KFkzh0yDTcVro0TJxo1V2Hh4fj6+tLaGgoDRs2JDo6mtdff92qGYQwmhQfTFPteHh4sHz5cqOjCGu4cwc6djQNu333nWkONyuJiYmhWbNm3Lhxg9mzZ7Nq1SoKFChgtf0LYStkWUYgZ86c1K1bl7Vr13Lt2jXy5MljdCRhSR9+aOr5jBpltQXibt26BUCBAgUIDQ2latWqFJF544QTk57PPS1atCA5OVkuPHB027eb5m6rUMEqN5Pevn2bd999l7fffpurV68C0K5dOyk8wulJ8bmnadOmKKVk6M2R3boFnTqBu7tpuM3Cc7dt374dPz8/ZsyYwQsvvEB8fLxF9yeEPZFht3u8vb2pWrUqa9asITExEU9PT6MjCXMbMABOnDDdVFqmjMV2k5CQwIgRI5gyZQoeHh5MnTqV0qVLU6hQIYvtUwh7Iz2fB7Ro0YLbt2/L8tqOaOlS+OYbqFPHdGm1BS1cuJDJkydTpUoVDhw4QL9+/XBxkV81IR5k1t8IpVRJpdQOpdSfSqndSqmy5mzf0po3bw4gQ2+O5swZePNNyJ/fNNxmgUJw584drl27BkC3bt0IDQ0lIiKC0qVLm31fQjgCc/8Wfg18o7UuBXwCzDFz+xZVsmRJfHx8WL58OcnJyUbHEeaQnAwdOkBcHMybBy+8YPZd7N+/n0qVKtG5c2e01ri4uNCpUydcXV3Nvi8hHIXZzvkopbyAAKD+vU8tBWYopYpqrU+Zaz+WFhISwqhRo9i8eTP16tUzOo7IrHHjYNs206qk924mNpekpCTGjx/P2LFjAdOkoKmpqdy9e5eYmBiuXbtGQkIC8fHx7Nu3D09PTzw9PcmdOzcvvPACOXPmNGseIeyJOS84KASc01onA2ittVLqDFAYOGXG/VhUmzZtGDVqFGFhYVJ87N22babJQv38TAvFmVFUVBQdOnTg0KFDPPfcc/j7+7Ns2TI+++yz+8NvT5IjRw6KFSuGj48PPj4+VKhQgapVq/LMM8+YNasQtkhprc3TkFIVgPlaa58HPrcHGKC13vrA5/oD/dM+7tatWwFbm0ixV69eXLp0ie+//x43C12O66xX1FnruN1u3iSoVy/cbtxg14wZ3DbDlWZ3797l4MGDREZGsnbt2v9cOu3l5YW3tzf58+cnX7585MqVCw8PD9zd3UlOTkZrzd27d7l58yZXr17l6tWrxMTEcOnSpfttuLi4UKxYMfz8/AgKCqJMmTJ2PXwnP+fOpUGDBirdG2utzfIAvIDrQJZ7HyvgAlD0ca8LDw/Xtmb8+PEa0KtWrbLYPmzxuK3BKsedmqr1669rDVrPmZOpphISEvTixYt1u3btdPbs2TWgAZ0vXz796quv6s8//1xv27ZNX7t27bHtPO64b968qXft2qWnTZumW7Vqpb29vf+xn7ffflvv3LlTp6amZupYjCA/504n/TUjIxs/sTH4Fehy7/+tgF1Peo0tfpP++usvDehOnTpZbB+2eNzWYJXj/vRT0492u3amQvQUDh06pPv27avz5MlzvxAopXSLFi10dHR0hgtBRo47NTVV79mzR48YMUL7+vre33+ZMmX0p59+quPi4jJ6OIaRn3Onk+56Ye6r3XoAPZRSfwJDgO5mbt8qihcvTsWKFfnpp59ITEw0Oo7IiG3bYPBg002k33wDKv2jACkpKSxZsoSgoCDKly/P9OnTyZs3L8WKFQOgRIkSDBw4EB8fH1QG2s0opRQVK1bko48+IioqisjISN59910uXrzIwIEDKVSoEAMHDuTvv/+2WAYhLM2sxUdr/YfWOkhrXUprXVFrfdic7VtTmzZtuHnzJuHh4UZHEel18SK0aQOenrBkCeTIka6XJSQk8NVXX1G6dGlat27N/v376dKlCwMGDOD8+fOcPHmSvn37cuDAAapVq2bhg/gvf39/pk+fzrlz55g7dy6FCxdm8uTJFC9enHfeeYfz589bPZMQmSW3XT9CmzZtUErx3XffGR1FpEdyMrRrB+fPm3o8ZZ98f3NSUhIzZ86kRIkS9OrVi2vXrjFixAjOnDnDp59+SmhoKF5eXmzevJlp06aRPXt2KxzIo3l4eNClSxeioqJYtWoVlStXvp9/6NChxMXFGZpPiIyQ4vMIhQoVok6dOqxcufL+bMTCho0cCZs3Q69e0L79YzdNTU1l0aJFlClThnfeeYeUlBSmTp3K6dOnad26NV5eXuTLl4/Vq1dz6NAhatWqZZ1jSCelFI0aNSIiIoIVK1ZQokQJJkyYQKlSpQgNDU07/yqETZPi8xidO3cmKSmJH374wego4nF++QUmTDCtzTNlymM33bFjBxUrVuSNN97g8uXLjB07lr/++otWrVrRunVrKlWqxJEjRwCoVKmSTd8IqpSiadOmHDhwgLlz56KUokuXLtSsWZOoqCij4wnxWFJ8HqNly5bkyJGD0NBQo6OIRzl6FN54A/LmhcWLwcPjoZtduHCBzp07U61aNaKjoxk4cCAnT55k6NChLFu2DF9fX8LDw2nXrh0vWGAKHktydXWlS5cu/PHHH/Tu3Zvt27cTEBDARx99RFJSktHxhHgoKT6PkT17dlq1asWePXvu/zUsbEhcHDRvDrdvw48/wkMWaEtJSeGzzz6jVKlSzJ8/nwYNGhAVFcWkSZO4e/cuLVq0oHPnzmTNmpWVK1cyd+5ccufObcDBZF7u3LmZMWMGe/bsoUyZMowaNYqgoCAOH7bb636EA5Pi8wSdO3cGkN6PrUlJMZ3b+fNPmDwZXn31P5scOXKEatWq8d5775EvXz6WL1/OmjVr7s80vX//flasWEH79u2Jjo6mSZMm1j4Ki6hQoQJ79uxh6NCh7N+/n4CAAKZPny7ngoRNkeLzBDVr1qRIkSIsWLBAZrq2JcOGwZo10KUL9O37j6eSkpIYN24c/v7+7NmzhwEDBnD48GGaN2/O1atX+eOPPwBo2LAhe/fuZeHCheTLl8+Ag7AcDw8Pxo0bx44dOyhcuDD/+9//aN26NdevXzc6mhCAFJ8ncnFxoUuXLpw7d47Vq1cbHUcAfP+9aaLQKlXgq6/+cSNpVFQUlStXZvjw4ZQoUYLt27fz6aefki1bNn766Sd8fHxo1arV/XMhFSpUMOoorKJKlSrs27eP1q1bs3TpUgICAoiMjDQ6lhBSfNLjzTffxNXVlZkzZxodRezbB926wfPPw7JlphtKMU0TNX36dCpVqkRUVBTDhw9n//79BAYGcu3aNTp06EDLli1JSkpi6NChZMniPCvI58qVi7CwML744gvOnj1LUFAQ8+fPNzqWcHJSfNKhYMGCNG3alPDwcE6ePGl0HOd15gw0aQJaw08/3V8Y7sKFCzRq1Ij//e9/FCxYkO3btzNmzBg8PDxYvXo1Pj4+LFy4kCZNmnD48GHatWtn0elxbJFSil69erF9+3a8vLzo3LkzgwcPJiUlxehowklJ8Umnnj17orXmm2++MTqKc7pxw1R4LlyA+fNNQ27AL7/8Qvny5QkPD6dLly7s37+fKveeAwgPDyc+Pp558+axYsUKnn/+eaOOwCZUrFiRPXv2EBgYyCeffMLrr7/OzZs3jY4lnJAUn3SqV68exYsXZ86cOdy9e9foOM4lKQlat4aoKNPNpCEhJCUlMXDgQJo2bUpSUhJhYWHMnTuXnDlz8uuvv95fa2fixIlERUXRuXNnp+vtPMpzzz3H5s2b6dixIytXrqRatWrExMQYHUvYuejo6AxtL8UnnVxcXOjRoweXL19m2bJlRsdxHlpD796wbh28+SYMHsy5c+eoU6cOkydPJigoiIMHDxISEsKtW7fo1asXtWvXZuTIkQBky5aNQmZYSM7ReHp6Ehoayvjx44mKiqJq1aocPXrU6FjCjo0aNSpD20vxyYCuXbvi7u7OjBkzjI7iPCZNglmzoF49+PJLNm3ejL+/PxEREfTr149ff/2VwoULs2XLFsqXL89XX31FrVq16N27t9HJbZ5Sig8++IDQ0FBiYmKoXr06u3btMjqWsENaa7Zt25ah10jxyYBnn32WDh06sH37dvkltYaFC01r8/j6khoWxvhJk6hXrx4JCQksXryYqVOnkpKSQr9+/ahVqxYXLlxg+vTpbNy48f4aPOLJOnXqxIoVK0hISKBOnTpyS4HIsGPHjnH58uUMvUaKTwb1798fgMmTJxuM1F+iAAAgAElEQVScxMGl3UBasCDXFy2iWceODBs2DB8fH/bu3UurVq0A03Doxo0bqVq1KgcPHuTdd9/FxUV+rDOqUaNGbNy4kaxZs9K8eXOWLFlidCRhRyIiIjL8GvktzSAfHx9ee+01li1bJpddW8qOHRAcDM88w4mZM6kUHMyqVavo1KkTu3btonDhwvffHD08PFi7di1bt26lZMmSBge3b4GBgWzbto38+fPTtm1bmc1dpJsUHysZOHAgqampfPbZZ0ZHcTzR0dC4Mbi4EDF0KP7t23PixAk+//xz5s2bx5EjR6hQoQKtW7fm119/BeCFF17A1dXV2NwOomzZsmzZsoXnnnuON954QxZTFOkSERFBiRIlMvQaKT5PoU6dOrz88svMmTOHa9euGR3HcZw6BQ0aoG/f5oeQEGoOHEiWLFlYt24db7/9NiNHjiQwMJBjx44xbtw4qlevbnRih1SqVCm2bNlCwYIF6dy5M99++63RkYQNu3jxIseOHcvw76MUn6eglGLgwIHcvn2b6dOnGx3HMcTEQL166PPnmV6xIu3mzsXX15c9e/bg7e1N5cqVGTt2LOXKlWPv3r1ON0WOtZUoUYItW7ZQpEgRunfvLtPxiEdKG3KT4mMlbdu25cUXX2Tq1KnExcUZHce+XbgAderA8eOML1iQfjt38vrrr7Njxw6KFy8OwPHjxxk5ciS//fYb5cuXNziwcyhatChbtmyhcOHCdO3alaVLlxodSdigtOJTo0aNDL1Ois9TypIlCyNGjOD69etMmzbN6Dj269IlU+H580+G5MjB8L//ZvTo0Xz00Uf3L2f38fHh9OnTjB49Gnd3d4MDO5fChQuzYcMGvLy8aNeunVyGLf4jIiKC/PnzU6pUqQy9TopPJrRv3156P5lx5QrUrQu//85AFxdmaM3ixYvx9PSkQoUKdOzYkYSEBACHW2/HnpQsWZL169eTK1cugoOD2bx5s9GRhI24desW+/fvp3r16hmevkqKTyZI7ycTYmPRdetCVBSDgGVFivD9998zZcoUBg8eTNGiRfnpp5/ImjWr0UkF4Ovry9q1a3F3d6dp06Zyk7UAYNeuXaSkpDzVxT9SfDIprfczZcqUDN/h67QuXiS5Rg3UwYMMB3a/8gq9e/emTZs27Nq1i/fee+/+WjzCdlSoUIHVq1ejtaZx48b3V4QVziutF/zKK69k+LVSfDIpS5YsjB8/nhs3bjB69Gij49g8j8uXuRMURJYjRxgCXH77bdatW4enpyfPP/88v/76K1OmTCFbtmxGRxUPUa1aNRYvXsz169dp0KAB58+fNzqSMNDmzZt55pln8Pf3z/BrpfiYQatWrQgKCmLmzJkyM/DjnDiBX9++eJw8SV/gdNu2DB8+HHd3d9555x0OHTpEzZo1jU4pnqBRo0bMmjWL06dP07BhQ27cuGF0JGGAW7dusWfPHmrWrPlUN3lL8TEDpRSTJ08mJSWFQYMGGR3HJunff+dWQAA5r12js4cH2wMC+OGHH+4vfeDi4kL27NkNTinSq2vXrowZM4aDBw/SsmVLWePKCUVERJCcnEzt2rWf6vVmKT5KqfFKqd+VUgeVUruVUnXM0a49CQoKIiQkhJUrV7Jp0yaj49iUpIgIbgUE4H79OnWzZWOZmxuRkZG8+eabcqGGHRs2bBg9e/Zk48aNdO3aldTUVKMjCStKe58ztPgA24AArfXLwFvAUqWUp5nathsTJ07Ew8OD3r17c+fOHaPj2IQbCxeS8sorJCYm4psrF7/Gx5MrVy5Wr17NrFmzyJUrl9ERxVNSSjFjxgxatGjBokWLGDZsmNGRhBVt3ryZvHnzPvVN32YpPlrrNVrrhHsfRgGuQH5ztG1PihUrxvDhwzl69CiTJk0yOo7hYkaOJHuHDtxMTWV+SAilatSgTp06REdH07BhQ6PjCTNwdXVl0aJFVKlShYkTJxIaGmp0JGEF169fJzIykldeeeWplzCxxDmfrsBfWuuzFmjb5r3//vuUKVOGsWPHcvz4caPjGENrjrZujduYMfQDNnz0EQPCwli6dCmDBg0iT548RicUZpQ1a1aWL19O4cKFeeutt9i6davRkYSFbd26ldTU1KcecgNQWusnb6TUNqDMI57211r/fW+7V4G5QD2t9UNvAlBK9Qf6p33crVu3AiEhIRnNbdOioqJ4//33KV++PBMnTnzoXwaJiYl4ejreyKS+fZtc773HuTNneAuIA0aPHk2VKlUAxz3uJ3GG4z5x4gQDBgwgS5YsTJs2jRdeeMEpjvthHP24v/76a3766SdmzpxJ0aJF73++QYMG6Z/mQGttlgfwCnAGeDkjrwsPD9eOqEePHhrQU6dOfejzjnjcsYcO6V05cui2oAGdJ3duHRYW9o9tHPG408NZjvuXX37RLi4uunTp0jo2NtZpjvvfHP24/fz8tJeXl05NTf33U+l+7zfX1W41ge+A5lrrg+Zo0959+umnlChRgiFDhnD48GGj41jcse++Y7efHy1u3eIHoEmTJvx+9CiO1qsVj9e4cWOmTJnCH3/8QUhICMnJyUZHEmZ28eJFDhw4QO3atTM8n9uDzHXOZw7gAcxVSh249yhnprbtUo4cOfjuu+9ISkqiQ4cOJCYmGh3JYna9/TaFO3WibGoqbrlzM3/+fFasWIG3t7fR0YQB+vbtS8+ePdmwYQMzZ840Oo4wsw0bNgDQoEGDTLVjrqvdSmqtvbXWfg88oszRtj0LCgpixIgRHDhwgHfffdfoOGaXcPUqUwoWJHLWLK64uBA7dy4nr1yhY8eOmfqLSNg3pRTTp0+nTp06/PLLL8yaNcvoSMKM1q5dC0D9+vUz1Y7McGBhI0aMoH79+syePZtv58yB0zth/0JIuQvpuNjDVh1asoQuXl4MiIlhqFIk7trFy126PNU0G8LxuLm5ERYWhre3N71792bHjh1GRxJmoLVm3bp1+Pr6UqBAgUy1JcXHwtLugyhSqCC9er7FzrENYc37cPsKzKgEcWeMjvhYWmv2nIpl8d6/2XMqFq01nzVrRtPWrfkxNZWAvHnZf+wYJSpVMjqqsDH58+dn1KhRuLm5ERwcTExMjNGRRCYdOnSIixcvZrrXA/ZYfC5ehDfegHPnjE6Sbvny5mVZ25y4Kk3ThTf48/y9iRhjT8KCYJvtAZ29Fs+rU7bQftYuRq04zFuTfqZ99ly8t3Ill4GhrVuz98oVipUoYXRUYaOKFy/O3LlzuXDhAi1btnToc5/OYN26dUDmz/eAPRafxYth0SLw9YWFC232jfsfzuwiIOdlFrfOSlyi5rUF8cTGXQedDNdOwRnbW5hLa02nb3dz+mo8SSmastt+ZOVXb9I94Ra+LlnYsmYN4378Uc7tiCcKCQlhyJAh7N69m969e6fdmiHs0Nq1a/H09KRGjRqZbsv+ik+fPrB8Obi5QYcOEBxs6g3ZstgT4OpGo5JufNXYk5NxmiGjP+HCrVRwcTM9b2P2nr7G2dgE1LVLlJjenkG/ziWPTmWFTx3i318GL1U2OqKwI2PHjqVhw4Z8++23fPnll0bHEU8hPj6ebdu2UbNmTbOsMGx/xQegeXM4fBhCQuCnn0y9oO+/t91eUN7ikJIEwFsV3JlS34MzMeepHRrP+et3TM/bmFNXblM8fAZ6Zlc2JdxglIsr9duOZ0WT/ni4u3Hqym2jIwo7knbus2TJkvTr148tW7YYHUlk0JYtW7h7965ZhtzAXosPQP78EBZmemgN7dtDvXrw559GJ/uvwoGQuwioLAC8F+RBzy7tOHollaA5tzh8M6fBAf/p1J49LKvtw/rI1ZwFauUrxO/9wjhXxDR7bVJKKkXzy9o7ImNy587N8uXL8fT0pE2bNpyzo/O2AsLDw4HMX2Kdxn6LT5qQEDh6FLp3h40boVw5GDkSEhKe/FprUQo6LoO8xcDVHdyy06JRPb59oygxN1KpWq3a/W+skRJv3WJ18+Y0rVyZH27dpLiLKy81GcDJN78CN9M8Va4uisJ5s1GxiEwOKjKubNmyzJ07l4sXLxISEkJSUpLRkUQ6aK1ZuXIlRYoUwcfHxyxt2n/xAVMvaPZsiIiA0qVhzBgoW9Y0FGcrC1zlLgx99kCnFdBoEmTPT9fvTrBu3TpcXFxo1KgRQ4YMMeSXMSUlhfXvv8+ZvHlptGIFtZWiR/XqrDt3hXy1muDmqsjm7oqbq6JovmzM715FLjQQT61Vq1b079+f7du38/777xsdR6TDkSNHOHnyJE2bNjXf735GJoKzxMPsE/Ddvav15MlaP/OM1qB1xYpab95s3n2YwYPHfezYMV2pUiUN6IoVK+p9+/ZZJUNSUpL+5eOP9Zxs2fTroC+B3lG3rk64fPn+NqmpqXr3yav6xz1n9O6TVx82kWCGOPqEi48ix/1Pd+/e1TVq1NCA/uGHH6ycyvIc7fs9YcIEDei1a9c+aVPrTixqU9zcoH9/+Osv6NcPDh6E2rWhcWPYvdvodA/14osvsn37dj744AMiIyOpWLEiPXv25Pz58xbZX1xcHAuGD2flM89wcPBgesbHswJYP20aQevX45n//9cBVEpRqWheWlcsRKWieaXHI8wibQaE5557ju7du3PkyBGjI4nHWLlyJTly5OCVV14xW5uOV3zS5MsHU6fC779DmzawejVUqQKvvQY2ONWHm5sb48ePZ//+/dSoUYOvv/6aokWL0rNnT7P8YiYlJbF+/XoGNmnCqnz58B83jonx8QwDihcuzM7du2nft2/mD0SIdHr++ecJCwsjMTGR4OBgbt68aXQk8RBXrlxh586d1K9fHw8PD7O167jFJ02JEvDDDxAVBW3bwrp1UK0a1KkDK1ZASorRCf+hfPny/Prrr/z888/4+/vz9ddf4+PjQ4UKFZgwYQK7du1K13mhlJQUoqOjmTNnDu3atuX1PHm4U78+n65aRfHUVCoqxR6lGDhwIAf++INKMj2OMEDNmjX5+OOPOXr0KN27d5cbUG3Q6tWr0VrTtGlTs7abxayt2bK0e4E+/BDGjTP9f/NmKFbMdONqt26QO7fRKQHTUFezZs1o2rQpERERhIaGsnjxYoYOHQqAh4cHJUuWpGTJkuTNm5ecOXOSkpJCQkICFy9e5NSpU5w4cQJ9+zatgYFABUArxc26dakwdChNvviCfv36Ua1aNSMPVQj69+/Prl27WLx4MUFBQbz33ntGRxIPWLlyJUopGjVqZN6GM3KCyBIPw07MnT2r9fDhWj/7rOnChKxZtW7fXuvwcK2Tky2++4wed0JCgt60aZMeMWKEfu2113SxYsW0Ukpzb9XQtEcWV1fdvEABvaJAAZ3g7q416GQPD/15jRq6Z7t2Fjqa9HO0E7HpJcf9eNevX9elS5fWrq6ueuvWrRZOZXmO8v2+c+eOzpkzpw4MDEzvS9L93u88PZ9/K1DAdEn28OHw44/w9demOeMWLYLnnzfdtBocbDpP5GL86KSnpye1a9emdu3a9z+XkpLCzZs3uXH9Op5//EHOtWvx/OUXVNqNtn5+nGrZku4bNrBp61aKFi1KbGwsefPmNegohHi4XLlysXTpUipXrkxISAiRkZE8//zzRsdyehs3buTmzZs0a9bM7G0b/65qNA8P6NjRdI/Q8eOmYbmsWWHyZKha1VSI3nzTdH7o+nWj0/6/27dxXbuW3B9+SOG6dfFq0ICsU6agbtyAPn3Qe/cyq1cvyn3yCZu2bqVHjx4cOnRICo+wWT4+PsyZM4cLFy7Qtm1bWYLbBixZsgSA4OBgs7ctxedBJUrAqFGmIvTbbzB0KDz7LMyZY5pPLm9eqFgRBg6En3+Gv/+23nxyly7BypWmnlqdOqYsjRvDtGkQH286b7VlC5w9C59/zgeLF/P222+TO3du1q5dy8yZM8mZ07am8RHi39q2bcu7777L1q1b75/jFMZISkpi+fLllC9fnlKlSpm9fecddnscpaByZdNj3DhTMVqzxvTmvmWLqVc0ebJp2/z5wd/fNK1PiRJQvLjpUbAgZMuWsf3evg3nz0NMDBw7ZrpM/OhR0ySqp0///3ZZs5ruXWrQAOrXN83moNT9K4UU0K1bN2JjY/nkk0/IbSMXUgiRHp9++il79uxh0qRJVK1alRYtWhgdySn9+uuvxMbG0q9fP4u0L8UnPV58Ed591/RITYUjR0z3Cu3fb3pERMD69f99XdaspvuN8uWDHDlMN8BmyQJublQ8fx5GjzYVnNu34fJluHHjv224u0OpUtC5s+n8U5UqpkLn5vaPzS5cuECPHj1o27Yt7dq1o1SpUnzzzTcW+oIIYTnu7u78+OOPBAQE0LlzZ/bt28eLL75odCyns3TpUsA0HZIlSPHJKBcX02Xbvr7//7mUFDh1Ck6ehBMnTLMrnDsHV6+aHleumNYcSkqC5GRISiKXUpArF2TPbnoULWo6v5T2ePFFKFPG9Pksj/42aa0JCwujd+/exMbGUrBgQdq1a2fpr4IQFlWoUCEWLVpEgwYNCA4OZufOnWTL6EiCeGopKSksW7aMsmXLUqZMGYvsQ4qPObi6mobcMrCc9Ka1azO9Lsbly5fp1asXS5YsIX/+/CxZssQiJwaFMEK9evUYPXo0I0eOpHfv3nz77bcyvZOVbNu2jcuXL/POO+9YbB9SfOxUcnIyVatW5fjx4wQHB/Pll1/i5eVldCwhzGrYsGHs3LmTefPmUa1aNd58802jIzmFtKvcLDXkBlJ87E5qaiouLi5kyZKFDz/8EBcXF9q2bSt/EQqH5OLiwoIFCwgICKBPnz4EBAQQEBBgdCyHlpSUxI8//kjp0qXxffD0gpnJpdZ2ZNWqVZQpU4ZTp04B8MYbb9CuXTspPMKh5c2blyVLlqC1Jjg4mGvXrhkdyaGtX7+ey5cv07FjR4u+t0jxsQPXr1+nW7duNGnShAsXLnD06FGjIwlhVRUrVmT69OmcOnWKTp06kWori0Q6oAULFgDQvn17i+5Hio+NW79+PeXKlWPu3LnUr1+f6OhoXnvtNaNjCWF1b7/9Nh07duSXX35h4sSJRsdxSDdv3mT58uVUr16dYsWKWXRfUnxs2J49e6hfvz6xsbHMnDmT8PBwChUqZHQsIQyhlGLmzJn4+voyYsQINm7caHQkh7Ns2TISEhLo0KGDxfdl1uKjlKqllEpRSvUxZ7vO5u7du4BpqGHMmDFERUXRo0cPObcjnF62bNlYunQp2bNnp127dsTExBgdyaEsWLAANzc3WrdubfF9ma34KKVyAh8Da8zVprOJj4+nX79+1KlTh5SUFJRSDB8+3OLdXyHsSalSpZg3bx6XL18mJCQkXYsriic7d+4cGzdupHHjxlaZgNicPZ8pwCTgihnbdBo7d+7Ez8+PadOmobUmNjbW6EhC2KyWLVsyYMAAduzYwaBBg4yO4xDmz5+P1pqOHTtaZX9mKT5KqYZAbq31EnO050wSExMZPHgw1atX58yZM0yaNImtW7fy7LPPGh1NCJs2YcIEqlevzmeffcaPP/5odBy7lpqayqxZs/Dy8qJJkyZW2afS6VgSQCm1DXjUBD/+wC9APa31JaXUPGCv1nrGI9rqD/RP+7hbt24FQkJCMprb7iUmJuLp6cncuXMJCwujVKlSDBw4kMKFCxsdzaLSjtvZyHFbxtWrV+nTpw+JiYlMnz7dZi7Isbfv9/79+/nggw8ICQmhW7duT91OgwYN0n9iOiPLnj7sAVQHLgGn7j1uAVeB0el5vaMsN5sRd+7c0b/88ovWWuvY2Fg9efJknZSUZHAq63DG77fWctyWtHnzZu3i4qLLli2rb968afH9pYe9fb9DQkI0oI8dO5bZptJdOzI97Ka1jtBae2mti2qtiwJLgFFa61GZbdsRHTx4kMqVK/P9998DkCdPHvr370+Wx8xcLYR4tFq1ajF+/HiOHDlCjx497q9rJdLn0qVL/PTTT7z66qtWXbpC7vOxkqSkJMaOHUulSpWIjo7GxUW+9EKYy6BBg2jWrBmLFi3iq6++MjqOXQkNDSUpKYm33nrLqvs1+5/bWusu5m7T3h0+fPj+olg+Pj6EhoZy5YpcFCiEuSilCA0NpUKFCvTr148KFSpQpUoVo2PZvLQLDfLnz2/1FWPlz28LS01NpXXr1uzfv5/Bgwezb98+KlSoYHQsIRxO7ty5Wbp0Ka6urrRu3Vr+wEuH8PBwjh07Rvfu3fHw8LDqvqX4WEjafTouLi7MmTOH7du3M3HiRKt/g4VwJn5+fnz55Zf8/ffftGnTRm5AfYKpU6fi6upK7969rb5vKT5mlpqayrRp0yhcuDAREREABAUFERgYaHAyIZxD165deeedd9i0aRMDBgwwOo7Nio6OZsOGDbRu3dqQS9Sl+JjRiRMnqFOnDv369cPb2xtXV1ejIwnhlKZNm8Yrr7zC559/zuzZs42OY5OmTZsGQL9+/QzZvxQfM9BaM3PmTMqXL8+WLVvo1asXBw8eJCgoyOhoQjglNzc3Fi9eTNGiRenVq9f9UQhhcvnyZRYsWEBgYKBhF2ZI8TGDI0eO0Lt3b/Lly8eGDRv44osvyJEjh9GxhHBqzz77LD///DPu7u4EBwdz5swZoyPZjKlTp5KYmEj//v2fvLGFSPF5Slprzp07B4CPjw9Lly4lKiqKV1991eBkQog05cuXZ/78+Vy6dIkWLVoQHx9vdCTDxcXF8cUXX/DSSy/RsmVLw3JI8XkK586do2nTpgQGBnL9+nUAWrRoQa5cuQxOJoT4t5YtW/Lhhx+yf/9+unbt6vQzIMyYMYMbN27wwQcfGHpeWopPBmitWbhwIb6+vqxatYpatWoZHUkIkQ4jRowgODiYH3/8kREjRhgdxzC3bt1i6tSpFCtWjHbt2hmaRYpPOl26dIng4GA6dOiAm5sby5cvZ/78+TzzzDNGRxNCPIGLiwvz58+nUqVKjBs3jjlz5hgdyRBffPEFsbGxDB48GDc3N0OzSPFJp9DQUH766SdCQkI4fPgwzZs3NzqSECIDsmXLxsqVKylWrBg9evRg3bp1RkeyqmvXrjFx4kSKFi1K165djY4jxedxrl69en+mgvfee4/Vq1cTFhZG/vz5DU4mhHga3t7erF69mpw5c9KqVSsOHjxodCSrmThxInFxcYwZMwZ3d3ej40jxeZQVK1bg4+NDr169AMiSJQsNGzY0OJUQIrNeeuklli9fzp07d2jcuDExMTFGR7K4mJgYpk+fTvny5Wnfvr3RcQApPv8RFxdH586dad68+f0fTme/OkYIR/PKK68wd+5cYmJiaNSoEXFxcUZHsqiRI0eSmJjI+PHjbWY5F9tIYSPWrl2Lr68v8+fPp2HDhkRHR9OxY0eUSv/KsEII+9C+fXsmTJjAoUOHaNy4Mbdv3zY6kkXs3r2bb7/9ljp16tCoUSOj49wnxecerTUTJkzgxo0bzJ49m1WrVlGgQAGjYwkhLGjw4MEMHDiQHTt2EBwczN27d42OZFapqan07t2bLFmy8Pnnn9vUH9JOv3bz/v378fPzu78YFUCRIkUMTiWEsAalFJ988glxcXHMnj2bDh068P333zvMpMBz5sxh7969DBgwgLJlyxod5x+ctudz+/Zt+vTpQ0BAwD+KjhQeIZyLUoqZM2fSunVrFi9eTI8ePUhNTTU6VqZduHCBIUOG8NxzzzFy5Eij4/yHU/Z8IiIi6NKlC3/99Rc1a9akZs2aRkcSQhjI1dWVBQsWcPPmTebMmYNSiq+//tpmTs5nlNaanj17Ehsby9KlS21y6i/7/Mo+pYSEBAYMGEDNmjWJiYlh6tSpbN68meLFixsdTQhhMHd3d5YtW0b9+vWZPXs23bt3JyUlxehYT2XhwoX8/PPPtGvXztDJQx/HqXo+sbGxzJkzhypVqjBv3jxKly5tdCQhhA3JmjUrP//8M8HBwcybN4+UlBTmzp1rV+eAzpw5Q9++ffH29ubzzz83Os4jOXzxuXPnDpGRkQQFBVGgQAG2bdtG2bJl7eqHSQhhPZ6enixbtozWrVvz3XffcffuXUJDQ/Hw8DA62hPdvXuXkJAQrl27xsqVK8mXL5/RkR7JoYfdIiMjqVixInXr1uXkyZMAlCtXTgqPEOKxPDw8WLJkCcHBwYSFhdGoUaP7y6fYskGDBvHbb78xaNAgmjRpYnScx3LI4pOUlMSHH35IlSpVOHr0KEOGDKFgwYJGxxJC2BF3d3fCwsLo1asXmzZtombNmvcXkLRFCxcuZNq0adSoUYNx48YZHeeJHG7YLTo6mk6dOrF//37Kly9PaGgofn5+RscSQtghV1dXZsyYQYECBRg2bBhBQUGsWLGCl19+2eho/7B582a6du1KgQIF+OGHH8iSxfbf2h2u5/PHH39w6NAhhg8fzp49e6TwCCEyRSnF0KFDmTdvHufPnycoKIiwsDCjY913+PBhXn/9dbJmzcqaNWt44YUXjI6ULrZfHtPh6NGjKKUoXbo0wcHB/PHHH5QoUcLoWEIIB9K5c2dKlixJcHAwbdu2Zd++fYwbN87QRdmio6OpU6cOt2/fZs2aNZQrV86wLBll1z2flJQUpkyZgr+/P506dbo/+7QUHiGEJVStWpV9+/YRGBjIpEmTqF69OsePHzcky4EDB6hVqxZxcXEsWbKEunXrGpLjaZmt+CileimlfldKRSulDimlPM3V9sMcP36cWrVqMWDAAAoWLMiUKVNsatI8IYRjeuGFF9iyZQuDBg26P7Q/e/Zsqy69smrVKmrWrMmtW7dYvny5Xa6sbJbio5RqDrwBBGqtfYG6QJI52n6YL774gpdffpmIiAj69u3LgQMHqFatmqV2J4QQ/+Du7s7HH3/Mxo0byZMnD2+99Ra1atXi8OHDFt1vSkoKEyZMoFmzZri5uREeHm5TyyRkhLl6Pu8Do7TW1wG01pe01habl+LAgQN4eXmxeWthvJgAAAfJSURBVPNmpk2bRvbs2S21KyGEeKTatWtz6NAhevbsybZt2/Dz86Nfv35cu3bN7Ps6ceIEr776KkOHDuWll17it99+o1atWmbfj7WYq/iUBSoqpbYrpfYqpfqaqd2HmjJlCocOHbLrL7wQwjHkyZOHr776il27duHn58e0adPo0qULgwcP5uzZs5lu//r16wwfPpyyZcuyZcsW+vTpw549e3jxxRfNkN44Kj3jlEqpbUCZRzztDxwGwoCewDPAFmCw1nr1Q9rqD/RP+7hbt24FQkJCMp7cziUmJuLpadHTYjZJjtu5ONtxa63ZsWMHoaGhnDlzBhcXF6pUqUL9+vXx9/fP0NfizJkzrFu3jtWrVxMfH0/RokV55513bO4eowc1aNAg3Sfe01V8ntiIUtFAX631pnsffwLEa60/fNJr165dqxs0aJDpDPZm7dq1yHE7Dzlu57JmzRqSk5OZOXMma9asQWtN1qxZqVWrFpUrVyYgIIBChQrh5eWFq6srd+7c4eLFixw/fpzffvuNzZs3ExUVBUCZMmUYNGgQHTp0sIebR9NdfMx1JIuA14BN965yewWYaKa2hRDCrri4uNC0aVOaNm3K6dOnWbp0KStXrmT9+vWsWbPmia/38vKie/futGvXjtq1a9vtukKPY67iMxX4Wil1BNDAYq31T2ZqWwgh7FaRIkXo378//fv3586dO0RFRXHw4EHOnz/PpUuXANPVc3nz5qVEiRL4+flRqlQph791xCzFR2udAHQyR1tCiP9r7/5CJS/rOI6/P7BylCiDTNg45rZmf7ZAi8lWMjc0M0FZ6M9F/5AgwiIWWboQCVYLZMPqyptWrKXsDxRUBG2GmrHWhWzomlZqutu6bZD9sRIrdPt2Mb+LLdY9Z3PmeWZn3q+bw5mZ328+z5lzzmfm+f3mGc2rpaUlRqMRo9God5Tu5u+1nCRp5lk+kqTmLB9JUnOWjySpOctHktSc5SNJas7ykSQ1Z/lIkpqzfCRJzVk+kqTmLB9JUnOWjySpOctHktSc5SNJas7ykSQ1Z/lIkpqzfCRJzVk+kqTmLB9JUnOWjySpOctHktSc5SNJas7ykSQ1Z/lIkpqzfCRJzVk+kqTmLB9JUnOWjySpuYmUT5KzktyR5L4kv07y+SQWmyTpqCZVEJ8DvldV5wLnAu8A3jmhfUuS5swkX52cOnw9BTgJ+P0E9y1JmiOTKp+rgfcmOQQcAr5SVfdOaN+SpDmTqlr5Rslu4LXPcfUbgI8Bf6mqG5OcDtwJbKmqO4+yr63A1iMu+nlVbT7u5Ce4JFur6gu9c7TmuBeL414sxzPuVZXPKu7wKWB9Vf1h+P5G4Omq2raKbQ9W1fLzDnGCcdyLxXEvFse9sklNuz0GXDbc+QuAi4AHJrRvSdKcmVT5XAl8NMn9wB7gR8C3J7RvSdKcWTOJnQwnF7zl/9x84eZFB457sTjuxeK4VzCRYz6SJB0PVyGQJDVn+UiSmpuZ8kny8SS/SvJAkvuTnNw7UytJ3pbkcJJP9M7SQpIbhsd6b5J7klzUO9O0JDk7yc+SPDyMdUPvTNOW5OQk3x3GfF+SHyZZ1ztXS0m2Jakkr++dpYUkS0luSvJIkgeT3LrSNhM54eD5SrIZ+ACwsar+OrxR9ZnOsZpI8kLgs8Cu3lka2g18pqr+keQc4K4ka6vqn72DTcEXgR1VtTPJe4BbgPM7Z2phB7Crqmp4UrWD8ZqPcy/JG4GNwIHeWRraDvwbeNXwmK9daYOZOOEgyd3AdVV1e+8srSW5GbgNuBzYU1U3dY7U1LD6+ZPAhqo62DvPJA1Poh4GTquqZ5OE8ZqHG6tqf9dwDSUZAd+sqlf2zjJtSZaAu4D3Az8GLq+quX7P4/Dezt8By1X11Gq3m5Vptw3AKMlPk+xJsqV3oBaSXAa8uKoW+T1RHwYenbfiGZwBHKqqZwFq/EzvAPDyrqna2wJ8v3eIRj4N3FpV+3oHaegs4E/Ap4b/37uTXLzSRk2m3VaxNtwaxgO4kPHq2D9J8puq+kGLfNOyinFvBy5pl6iNlcZdVY8Pt7sY2MYc/gyO8L9TC+mSopMk1wJnA1f1zjJtSc4H3gRc0ztLYycB64FfVtU1w1T67Uk2VNUTz7VRk/Kpqrce6/okB4BvVNVh4M9JdgHnASd0+Rxr3EkuANYC94xnYzgNuCLJS1ezJt4sW+nxBkiyCfgycEVVPTT9VF08DiwnWXPEtNsZLMixgCSfBN4FvL2qnu6dp4FNwGuAfcPf9DJwW5KPVNU8H9P9LePjPV8DqKq9SfYBr2M8BXlUszLt9nWGD58bznLbBOztmmjKquruqjq9qtZV1TrGyxFtO9GLZzWSXAh8FdhcVXP7OA8L7d4LfHC46N3A/kU43jOsXv8+4JKqerJ3nhaqantVveyIv+mDwKVzXjxU1R+BO4BLAZKcCbwCOOaTylk54eAUxmcFjRhPU3yrqq7rGqqxJDtZkBMOkjwCvIj//sDBD1XVLzpFmpokrwZ2Ai8B/gZcWVUPdg01ZUmWGb/qewz4+3Dxv6rqzf1StZdkPwtwwgFAkvXAlxj/nh8Grq+q7xxzm1koH0nSYpmVaTdJ0gKxfCRJzVk+kqTmLB9JUnOWjySpOctHktSc5SNJas7ykSQ1Z/lIkpr7DwOS/QkZ2LeKAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdf413dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-4.034833084821584 -1.8245499350699852\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfe5842b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-1.6629181692306036 1.3594123686116806\n"
     ]
    }
   ],
   "source": [
    "## gradient descent\n",
    "plt.rcParams[\"figure.dpi\"] = 80\n",
    "\n",
    "import autograd as ag\n",
    "import autograd.numpy as np\n",
    "\n",
    "def loss(x):\n",
    "    return 0.02*((x-0.333) ** 4 - 30*x**2)\n",
    "\n",
    "grad_loss = ag.grad(loss)\n",
    "\n",
    "def approx(x0, eps, gamma=0.5):\n",
    "    return loss(x0) + eps*grad_loss(x0) + 1./(2*gamma)*eps**2\n",
    "\n",
    "def line(x0, eps):\n",
    "    return loss(x0) + eps*grad_loss(x0) \n",
    "\n",
    "xs = np.linspace(-6,6, num=1000)\n",
    "epss = np.linspace(-3,3, num=1000)\n",
    "# gamma = 0.5\n",
    "# x0 = -0.5\n",
    "# gamma = 0.5\n",
    "# x0 = 0.25\n",
    "gamma = 1.3\n",
    "x0 = -2.0\n",
    "\n",
    "for i in range(10):\n",
    "    plt.plot(xs, loss(xs), c=\"k\", label=\"$L$\")\n",
    "    \n",
    "    plt.plot([x0 + e for e in epss], [approx(x0, e, gamma=gamma) for e in epss], c=\"r\", label=\"$\\hat{L}$\")\n",
    "    plt.plot([x0 + e for e in epss], [line(x0, e) for e in epss], \"k--\")\n",
    "    plt.scatter(x0, loss(x0))\n",
    "    plt.scatter(x0-gamma*grad_loss(x0), loss(x0-gamma*grad_loss(x0)))\n",
    "    plt.legend()\n",
    "    plt.ylim(-8,5)\n",
    "    plt.xlim(-6,6)\n",
    "    plt.grid()\n",
    "    remove_frame()\n",
    "    plt.title(\"$\\\\theta_%d = %.2f, \\gamma=%.2f$\" % (i, x0, gamma))\n",
    "    plt.savefig(\"gd-bad-%d.png\" % i)\n",
    "    plt.show()\n",
    "    \n",
    "    x0 = x0 - gamma * grad_loss(x0)\n",
    "    print(x0, grad_loss(x0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 275,
   "metadata": {},
   "outputs": [],
   "source": [
    "# check on derivatives \n",
    "def nn(x, w1, w2):\n",
    "    return sigmoid(w2*sigmoid(w1*x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 276,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.4882823801879445"
      ]
     },
     "execution_count": 276,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = -0.5\n",
    "w1 = 0.25\n",
    "w2 = -0.1\n",
    "\n",
    "nn(x, w1, w2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 277,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.003111115091803311"
      ]
     },
     "execution_count": 277,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grad_nn = ag.elementwise_grad(nn, argnum=1)\n",
    "grad_nn(x, w1, w2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 279,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-0.5\n",
      "-0.125\n",
      "0.46879062662624377\n",
      "-0.04687906266262438\n",
      "0.4882823801879445\n"
     ]
    }
   ],
   "source": [
    "print(x)\n",
    "u1 = w1*x\n",
    "print(u1)\n",
    "u2 = sigmoid(u1)\n",
    "print(u2)\n",
    "u3 = w2*u2\n",
    "print(u3)\n",
    "u4 = sigmoid(u3)\n",
    "print(u4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 280,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.003111115091803311"
      ]
     },
     "execution_count": 280,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grad_sigmoid(u3)*w2*grad_sigmoid(u1)*x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 440,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.916666666666667\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfe4695320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdfe6beb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdff37ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfe40edf28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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b9SLQnFZyR4+up2XLFpees2XLJho1aoSPjw/h4eHcfvvtvPPOO9SoUaNY55Y5H+HS6tWrh9Vqlb19hO3279eX2UB/4Vevbl4sn30GkybBJ5+YXtGW0zX64EH9Z9Al0D4+up9q48a6AC8xMY5WrXKTz4YNG2jevDlw7Sq4wsrMzMTb27tY22e7I5nzcROXFx00aNDA5GiEyztzBu69V3cNmD4d7PRFaTOlYMwYPbfTrZtevxMV5dwYrpKerhd/njiRWxYdHKwHYcHBusLu8oKBESNGXPH6559//tKfK1SowNSpUwkLC+Puu+8uVlwZGRklbr4HJPm4DWkwKmyWna0vc23erAsNevRw7vkvLyxo0wa6djW9dU9iom4bB3qEU7GiXouTcxWysOG1b9+e9u3bFzuunAWmQWZdDjWRJB83IeXWwmb//a+e33n00dxyZmc5dkxvv71ypR7x/Pyz0xNPVpZONNnZUKmSvi8gQFd0ly+vRzmuUt1t6/bZnkiSj5uoWLEiISEhknzEtU2cqC933XyzXkjqzC/+rVv1pb6kJN0te9Qop83v5FSqnTih/6uUHuGEhemPoFo1p4RRaCW12AAk+bgNwzCoX78+O3bsMDsU4aqWLtVrZ2rVgtmznd8j7a+/9HbX33zj1EWs6el6O6KcRtjBwbldo129SXRJXWAKknzcSoMGDVi3bh2pqamULVvW7HCEK9m5U8/tBAbqZqE2NsMsNqX03juBgXqe5/bboX59h57u3DldOODr60NIiG5xExysb2XLmtugu7Bylk5I8hEuLafK7d9//6Vdu3YmRyNcxokTulnomTOwcKGuMHOGjAyIiYE9e3ST0lKlHJZ4LlzQCefkST3SAQgN1V9fhqE7HrijkjzycZFpN2GLhhe/VLZv325yJMJlZGToCf7ERPj8c+jc2TnnvbxjQUBAbkZwgMOHdZucQ4f03E6lSjq/Vqxocdg5nUVGPsItXD7yEQKl9KWuP/+E/v31n53h8sKCV17RhQV22uQwM1Nvwpaaqkcz3t5626H09NzS6Jx5nFOn7HJKU5XUBaYgycet1KpVCz8/P0k+Qhs1SncN6NZNdw5whv/7P32+Cxd0Zd3TTxf7kGfO6N0/ExP1n0GXQl+4oJNNQIDersATldQFpiCX3dyKt7c3kZGRctlN6Gq2wYP1svxp0+w28riuBg30Of/4wy6JB/Qa1BMndAIKCdHFejfeaF4bOmdRSknyEe6jYcOG7Nu3j3PnzpkdijDLP/9Anz5QoYKubHN0k86MDF1QAPra1+rV0LFjoQ+Tna2rwfv1gyeeyL3/pZf0YRs3hnr19EJQV7oK9eOPP9KkSROaN29OfHy8XY+3Y8cOU5NPYbYJtze7/bpkGIY/MA1oCJwHDgMxSqkke51D5M777Ny581KTQ1GCHDyo51uys2HOHIiIcOz5jh/XBQ2rVulb27aFWjyjFKxfDz/9BL/8oosHQB8mO1snmYcegl27nDd4Kwyr1cqgQYOIi4sjPDzcrscLDQ11aPLp2LEj33//PRHX+H/Eng1SC8vef90TgUVKKWUYxosXf3ZS+U3JcHnRgSSfEubcOd2lOiVF78vj6HL7bdt0otu7F15+uVDNSZXSOWr3br1bNugCgqFD4eGHr9NjtHt3/cLrCLJai9Ynp04d3eX7Ok6ePEmbNm04c+YM99xzD88++yzPFaOo4+rj9enTh44dO5o68rl8m/C4uDhq167NwoULCQwMdPi57ZZ8lFIWYOFld60BXrHX8YUm5dYllNUKjz2mL7kNGwa9ezv2fAsX6iFJIQoLDhzQ008//aSL7558Uiecjz/WV+latnT9jgOXK1euHCNGjGDOnDlMmzaNtLQ0srOz81Sm9ejRg8TExHyPMW/ePMpcvCx69fEOHz7Mv//+a2qlW1xcHIZh8OOPP5KRkcGdd97JmjVr6NSpE2lpaQQHBzssPkPlbGhh7wMbxhTghFJqwFX3DwQG5vwcExNTLTo6uljnslgs+Pv7F+sYzmCPODMyMoiOjqZNmzYMHTrUTpHlVZI+U2cobpz1vvuO2r/8wqEOHdg8eLDDvsUtFgshZ87Qvm9fsvz9iR8yhNQbbyzw+adO+bJqVSWWL6/C1q3lAAgKyqRPn0Sio23f4bNixYrUqlULr0KMZJRSGA7OZkOGDCEsLIz+/fvz6KOP8u233xZ6pHJ5nJcf79ixYzzzzDNMnTqV0qVL23SstLQ0hgwZwvLly9mWzx7hzz//PJs3bwZg7969hIeHX+obN23atDyXDhs2bMjChQuJiIhAKcUtt9zCxIkTadSo0TXfr9VqZe/evRw7duyK+7t06VKYa7LK7jfgTeBvINCG5xdbbGysPQ7jcPaKs169eioqKsouxypISftMHa1YcX73nVKgVOvWSp0/b7eY8nMpzqlTlUpIyPc5Fkvunz/+WIcWEKBUr15KzZlz5eO2yMrKUtu3b1dZWVmFel1aWlrhTlQEHTt2VEuXLlWrV69WkZGRatiwYWrfvn1XPOfBBx9UN954Y763/fv3XxFnzvGUUurXX39VNWrUUEOHDs1zzOu5/fbbr/ucDh06qL179xb4eEpKigoPD7/08+HDh1VwcLDKzMy85vtV6pp/ZzbnCbtP8RmG8SrwAHCHUuq8vY8v9LzPggULSnSZZonx11/wzDNQo4YuMAgIcMx5TpyAgQPxzdkY7ZFHrng4IwNiY/UltYUL9XbTlSrpq39VqsB99+neap5EKcXGjRtp3rw5Z86cubRt9tVmzJhxzeOcurga9vLjAZQvX57WrVszfPjwS889fPgwDz300BWvb9q0KePGjSvmu8lr/fr1tGiRu1Pr1q1b890m3FHsmnwuXlJ7GJ140ux5bJGrYcOG/PbbbyQkJNCoUSOzwxGOkpgI99+vu1PPmweVKzvmPNu368KCPXuoHBwM//nPpYdWrNC1DTNn6q4DALfcAkeP6uRTrZqu+vZECQkJlC9fntDQUJYtW1bsqrDLjwcQHx/PjVdd0qxcuTIrVqwo1nlsFRcXd0XyiY+Pd8g24QWxZ6l1OPAJsAdYfvEaZ7pSqrW9ziG0xo0bA7m/qQgPlJqqm4WmpenKrBtucMx5Fi3ShQXnz8PXX7O/Rk2qpOru0ABDhuimBk2b6jWtDz2kB2ElQWRkJLsvVt3ZY9vsy49ntVoJCgri999/p2nTpoU6ZkxMDDt27CAmJobXXnuNOnXq5Pu86yWxq7cJf+qppwgJCQHsu014QexZ7ZYMuFEti/u64eIX0ebNm+nVq5fJ0Qi7y8zUo4+dO2HsWHDEP36lYNw4ePVVCA1l5/9W8vPeNvxvxDlq1dIbkYLu2hMc7LxG2a7KXttm58jIyKB58+Z069aN6tWrF+q1X331ld3iKIi9329+XHBZl7ie+vXr4+Pjc6mqRXgQpfSS/yVL9HYFL7/smPNkZ5M2eznflh/JT2Ev888TuhKvbFkfWrbUld1eXrlrdIR9leStFHJI8nFDpUqVokGDBmzZssXsUIS9ffYZfP213q7gs8/sXlJ9ct8ZvEOCCAn1If2bKfy3YQjBGQZ9++rFnxkZK7jrri52PafIqyRvpZBDeru5qSZNmrBv375LlTTCAyxYAAMH6uX/06fDxfUZxXXuHPz8M3S/7QyVI/z43+N/AVCpfigrVhgcPgzffqvznSv1VPNkGRkZgCQf4YZy5n22bt1qciTCLjZv1rP5ZcvqZqEXK6KKY80aXTEdFqZLoheuCKCTsZwGNXJXQNx6K5i9RtfRC0VdUU7y8fPzMzmSolEXmxMU5+9Oko+batKkCYDM+3iCw4d1qXN6OsyapXuPFYHVCnFxuT9v367X5TStlMJ440VSQhoSu7QUd33ezU6B24dhGBiGcWkepCRIT0/Hy8vLbTeRs1gseHt7F6ojxdVkzsdN5Yx8ZN7HzV24ANHRsH+/3pK6kBVGSkF8vE4y06ZBcrLuEF2vHvTsCZ3WjCTim7egfn2Yt0A/4GIMwyA0NJQjR45QrVo1m3+btlqtZGdnOzi64ssvzvT0dEqVKoXVajUpqrxs+TyVUlgsFg4ePEhYWFixzifJx01Vq1aNsmXLysjHnSmlu2+uXasX0Vy+yY0NPvoIvv8eduzQP0dEwBtvQE5D4uBgCO7ZCg7epVeK2uFSnqOEhYWxb98+EhISbH7NhQsXCHBUxwc7ujpOpRQpKSkEBASwa9cuEyO7kq2fp7e3N2FhYZTNWQxWRJJ83JRhGDRp0oT4+HinNFgUDjB8uN7k5oEH4P33r/v0Q4d05+ibbtI/r14NJ0/Ciy/qOZ02bS4Wx/37L5xSenHOnXfqSgIX///Dy8uLWrVqYbVaL80nXM+SJUu44447HBxZ8V0dZ0pKCvfffz/PPfcco0aNMjGyK9nyeRqGUaxLbZeT5OPGbrjhBlb99Rf79++npqducu+pfvpJJ58WLWDKlAL3pUlN1dNAP/0Ey5frQrht23Qu+eYbvQPoFZuwxcZCr1669822bbpizsUTz+UK+8XmLnMml8e5b98+LBYL4eHhLhe/M+ORggM39vqSJWQAh7/91uxQRGGsXg19++rGaL/9Bvm009+/X08FVa4MTz2lNxG9/34YMUJfrQNdxXYp8SgFn36quyF4e8OECXYr1Rb2tXfvXoBr7jBaEkjycVePPUb4jh14A7W+/trsaIStkpJ0VvH21omnalVAd9RZtEhvGgp6RLNsGXToAJMmwZEjurlnjx75DJIyM3U3hFde0bu3rV0Lt9/u1LclbJeUlARI8pHLbu5o4UL48UeUjw9kZVH+2LHcfijCdZ0+rZuFHj8Os2Zhbdqc1av0AtBff9V3v/EGjBwJQUFw8KCN2xR8+aXebfSOO/SBijkRLBxLko8mycfdrF+va2jLlsVYsYIdLVsSlZ6uW+7fd5/Z0YkCGNnZehHptm3w0Uf8fCGawbX05TXQtQGvvHLl7tg274/z/PN6JBUTc9UEkHBFSUlJlClTptjVYu5OflV2J8uX681UrFadbBo3ZvXF9T7n1641OThxLeFjJ8GiRagn+8Jrr10qh379ddi0CbZuhbfeglq1bDzg77/rbKWUntt58UVJPG4iKSmJiIiIEl+hKsnHXfz7L3TporeUfPVVaNsWgLM9enAOSF+wwNz4RB6HD+veoKNqfUnDJTNZQQfW950AhsE99+j5nQ8/1Fv12Pw9pJQ+6F13weTJuUMn4Rays7PZv39/ib/kBpJ83MPx43pxR2amLqN9991LDzVt04alQMiWLXoRiHAJ//mPLmab//JiBiT1JzkggqxpM2nWWjeS9PYuwhRdTmHByy/nFhZIib1bOXjwIFlZWZJ8kOTj+jIyoEkTOHtWj3amTbvi4aZNm5IKeCkFY8aYE2MJd+GCrkSbPDn3vvLl4bkO25kf0BPv0GD2fvYWd/QqX/Tq5xMn9Mg3p7BgzRqIjLRL/MJ5pNgglyQfV6aU7vV1+LCeDFi1Ks9TypQpw4KcnRDnzXNygCVXVhYsXqw74lSqpEug33ordw3Ol8OPMT7pHkplnseYMYPzhdytMo8TJ2DjRj23s2iRVLS5qZzkU8vmyT3PJcnHlX34ob60EhGhW+4XcJ3G++abuQCoPXv0t6JwqB079CW1Ll30aCcqSu92vW7dxbmb9HSMB+7Xkzpfflm8NTepqfq/kZGwZQt8/rkUFrgxGfnkkuTjqsaOhTff1LPR8fF64UcBWrRoQTxgKAU//OC8GEuIrVv1X0VOQWHdurpJ9PDhuoP0unW68KxqVfTQ5+mn4f/+T28M9/TTRTupUjrR1K6tAwAID7fL+xHmkeSTS36FckUff6xrcMuW1QtKQ0Ku+fTmzZszFWgL+lfxJ590RpQeLSlJL/78+Wc94AA9/da6tR54/PVXAS/84AP9C8C99+q/x6LIzISXXtLbaUdGQgne7dLTJCUlERISQqgLdxh3Fkk+ruaXX3TiAb2/S7Vq131J8+bN6QZ8Dni5UIt2d5WT+0G3uXn2Wb3485ZbrvPCGTP0xM+NN+pOoEVp0njihF5EvHy5dCzwQHv27JFRz0Vy2c2V/P137hL3ceNs7lgQGhpK9Tp1WBQcrPvuHz7swCA9y+nTuql0z556wAFpsJPsAAAgAElEQVR6a+nevfVu1ocOwVdf6bqPa5ZGr18Pjz2mO4HOm3fNy6QFSkvT+yIsXw4vvKBHvZJ4PEZGRgYHDhygThF3qvU0MvJxFXv3QseOuntB//56LUchtGrVimnTpnE36Lb6hdyYrCSxWHTB2E8/6QRjsehLafHx0KqVrmi/uIbXNgcOQPfuep5m7lwoamVbaKjuSl2vnk4+wqMkJSVhtVqpW7eu2aG4BBn5uAKLRX95ZWTo/376aaEP0aZNG2IBBbozpShQy5Z6/7aZM/Ucztdf68Fiq1ZFONjZs3p+5/BhPd+Ws9ObrZSC6dMhPV3/PG6cJB4PtXv3bgAZ+VwkIx+zWa36cs3WrXq08t13RTpMmzZtOA5k+Pril5AA58/n7qdcQimlK9R+/lmPbD75RN8fE6O/63v1KmYBWXY2PPKIbs727ru6rUFhZGbqEe6ECbqczobdTIX7SkxMBCT55JDkY7ZOneDPP/UqxWJsCtesWTP8/PzYXro0zU6e1CvhX3nFjoG6j+3b9SW1n3+GPXv0fS1a6GRkGHqdpl0MHqz35OnTRxcaFMbJkzpZLV2q1wG9+qqdghKuSkY+V5LLbmaKjtaJp0IFXZ5bjP14SpUqRfPmzfnSYtF3/PijnYJ0L5s3Q6NGehBhseilNuvX65tdmwj/738wejTcfLP+c2EOvnOnLixYulRvhyAdC0qE3bt34+vrS/XidrvwEHZNPoZh1DMMY7VhGLsMw1hnGEZDex7fowwYoCenS5XSfbr8/Yt9yLZt2/Lt+fMoLy/9Lezhjh2DefOqc+utMGuWvq9JEz0gWbZMN3z+5BM9x2PXxLN8OTz3nG55NHs2+PnZ/lql4PHH9ZBs/Hj44gvZ7rqE2L17N7Vq1cK7KCX4Hsjel92+BiYqpb43DKMH8C0X1z6Ky4wbp29eXvpb0k7D8DZt2qCA0xUrEnLkiF4J2b69XY7tKs6c0Tn7p590b7Xs7IYEBOTuLGAYep2nw+zaBQ8+qOfT5s2DihUL93rD0LXd+/bBnXc6JkbhcqxWK3v27KFTp05mh+Iy7JZ8DMMIA5oDnS/eNRMYbxhGhFIqyV7nyePvv8kYvZT1U/7N81BUp6oEVwki42wGm+bmH0KzB2vj4+/DqeTT7Poz7/oYXz8vmvbQpZGHtx7jwKbUPM8JrlCKqC4RACT930GOJZ3L85xKdYKo4HsItm0ja9DrKHxY89oczpy6GRbq5zRuDDVq6D8vXpx/m7Y2bfTCR4tF563LnT/fEehGbMRpeh05wtmVG/nrbN7k4+eX225s7169VdDVEhJC6NJF/7mg3RoiIvQOnKCXKKXm/WiK/Z5y3HmnHiCMGqXn9n18dG+1xo038/bbNxRpWU2hnTypt8E+dUqvwWnUqMCn5uzbcuzYMdKOHaPCe++xLT4e/x49qFGrFr7SkbpEOXjwIOnp6TLfczmllF1uQAtg+1X3rQPaX+e1xdOunVL6Yobb3DLwVbexNM9DEyfmvq2QkPxfvmqVfjw5ueBTtG7QRilfX3WsVbd8H69aNfc8Y8fmf4xmzY5des5TT+X/nJdfvv5fg73eU2qqfk5CglITJih17GJ4sbGxxf5fyCbp6Up17KiDGT8+n4fT1eLFi9Vrr72mWrZsqQICAhSgyoL64+KbmK0r4ZWXl5e64YYbVExMjJo7d666cOGCc96DDZz2edqBu8QaGxurli9frgA1btw4s8MpkJ0+T5tzhqGUsksSMwyjBTBFKdXosvvWA4OUUn9ddt9AYGDOzzExMdWio6OLfN4Ka9eSMj0ZpfJOX1Vt7oNfRT+yz2ezf6Ul39fX6OiPt583lsPpHNqU99dyH19F9U761+oziec5vjvv5xUYoqjURj/nRPw5Th/Je57QqhAcVQofX19WX2jJroDGeZ7ToEEa1aufB2DZsipkZeWdqGjV6jhly2ZgsXjz11+V8jw+b958EhNHcKRRXcrt2MmQp1aQERh8xXP8/Kx06KBHeUlJpdm1K2/vuODgM7RtewaAbdtCOXgwb9l2jRrniIo6BcDatRU4dSpvDzJ7vCeAjh0PUapU3s/eYrHgb4f5smtSikZjxxK+eDH7undnx/PPX3poz549xMbGsmLFCk6fPg1ASEgIderUoW25cgxZt47Kp0/zV8OGTGvXjqOpqaSkpLBz505OnjwJQGBgIB06dKB79+6mt9p3yudpJ+4Sq8ViYcWKFYwbN47hw4fTunVrs0PKlz0+zy5dutg+u1qYTHWtGxAGnAJ8Lv5sAIeBiOu8ttjc6TcgRxs1apQC1JGcociwYUU6jnymlxk1Sn+WXbsqlZmplFJq9erV6u6771ZcHM00aNBAjRw5Um3cuFFlZ2crtXixUqGhSnl5KfX55yp20aIrDmm1WlViYqIaNWqUatGixaXj3HPPPWrLli2Of08FcJe/d6XcJ9bY2Fj1xhtvKEBt377d7HAK5OyRj92q3ZRSR4GNQJ+Ldz0IJClHzveIPG699VYAfs9pXjhjhnnBeIK5c+G//9XzO9OmsffAAR544AHatWvHwoUL6dmzJ3///Tfbtm3jjTfeoGnTpnh5eUFior7YtmiRXlh0VbmdYRjUqVOHV199lbi4ONasWUOPHj2YP38+N9xwA/369bs0MhLuLzExEcMwTB/ZuhJ7r/N5FnjWMIxdwGCgn52PL66jefPmlC5dmknJyXpWfscO3UVBFN7GjbrDaIUKZM6axbuffUaDBg2YPXs2Dz74INu2bePXX3+lTZs2GIahOxbkVF0895z+7Dt3vvY5LmrdujXTp08nLi6O2267jUmTJtGwYUNmz57twDconGX37t2Eh4e7xWVCZ7Fr8lFK7VRKtVVKRSqlWiqlttnz+OL6fH19adeuHWvWrcPaoIFuASPbaxdeSoru2ZaVxd6xY2nbuzdDhw6lbt26LFu2jBkzZtCgQYPc56emQrdu+jU5fdoqVy70aVu0aMGSJUuYMmUKGRkZPPDAAzz99NNYLPnPWQrXp5Ri9+7dUul2Felw4IE6dOiAxWJhf5s2+o6JE80NyN2cP6+3szh4kGV9+tCgXz82btzI4MGD2bBhA7fddtuVz9+1K7djQePGxepUAfqS3KOPPsr27dvp3Lkz//vf/2jXrh179+4t1nGFOc6cOcOpU6ck+VxFko8Han9xYen0sDA917Bzp8kRuZGcRq9xccxr2pTbJ02iSpUqrFy5kg8++AC/q7sZLFmiW2MnJsJnn+kmoXbqWFC5cmUWLlzI0KFDiY+Pp3Xr1qxbt84uxxbOk5KSAkhPt6tJ8vFAN910E/7+/vyxbp1eFJmUpDcqE9f39tswcyZ/lC3LffHxdOnShQ0bNtCuXbu8z503D7p21YUFCxfqra/t2scHvL29GT58OHPmzOHs2bPcdtttzJ8/367nEI6VnJwMQKQsLL6CJB8P5OfnR5s2bVi9ejXZXbvqeZ/Fi80Oy/VNmQIjR7LR15fuqam8+dZbLFiwgHLlyuX//Ftu0cnn77+51A7CQbp3787y5csJDAwkOjqaX3/91aHnE/aTk3zq169vciSuRZKPh2rfvj3nzp1jc6WLizaHDzc3IFe3ciXWfv1INgzutVr539SpvPfee3mbQKam6s3fQHeinj8fLi88cKDWrVvzf//3f1SqVInevXszPScO4dKSk5MxDEN2ML2KJB8PlTMpvnDHDt0x+99/82+sJmD3btLvvptzWVn08Pfnu0WLeOSRR/I+L6ewoFcvvYGcCSIjI1m+fDlhYWE8/PDDzJw505Q4hO2Sk5OJiIiQMuurSPLxUG3btqV06dL88ccf0LSpnpf44Qezw3I9aWmc7tgR3zNneC4khC9XreLO/LpNL12aW1jw6adwww3Oj/WiyMhIVqxYcSkBLSuoG6swndVqJSUlRS655UOSj4fy8/OjQ4cOrF69GkuPHvrO7783NSaXk5XF4Q4dKJOczDtBQby5ejXNmzfP+7wJE/ScjgMLCworMjKS33//nYCAAO6//342l4D9m9zR/v37ycjIkGKDfEjy8WCdO3cmMzOTZbVq6S/LuDizQ3IdSpF4111U3ryZHwID6b1uHQ0b5rP34a5d0L+/3j/CCYUFhdGkSRPmzJmDxWKhW7du7M/Z1Ei4jF27dgFSbJAfST4erPPF1i6///knVK+uF0/Kb8gAbIuJoe4ff7CyVClar1tHVEFFA5GRMHMmrF3rtMKCwrjtttuYPHkyKSkpREdHc/78ebNDEpfZeXGNnSSfvCT5eLCoqCiqVavG4sWL4Zln9J0y+mHrxx8TNXEiCd7eVPrrLyKv3hQuIUGXUB89qn/u3h3Kl3d+oDZ66KGHGD58OBs3buTpp5/O6TIvXIAkn4JJ8vFghmHQuXNnduzYwcG779aX3hYtMjssU+2cMYMar7/OKcAyfTqRV++tsmyZLiz44w+9DbmbGDJkCNHR0fz000+MGTPG7HDERTt37sTPz49q1aqZHYrLkeTj4XIuvS1cvx5atdIT5ufybvNdEuxds4bAXr3wB/aNHUuT+++/8glff63ndLKzYcECyCnUcANeXl5MnjyZBg0a8N///pcVK1aYHZJAz/mEh4frrufiCpJ8PFyXLl3w9vZm3rx5EBys532+/trssJzu2IEDpHbsSHWrla0vvkizV17JfTArSxcVxMRAzZqwZo2+7OZmypQpw5w5cwgMDOSRRx7h2LFjZodUop0/f579+/cTHh5udiguSZKPhytbtizt27fnjz/+wNK7t77z55/NDcrJ0i0W4lu0oHl6OvFdu9L888/zPmnnTujY0WULC2wVGRnJhAkTSElJ4YknnpD5HxMlJCQASPIpgCSfEqB79+5YLBYWlyun2/2XoIo3pRSL2rblzmPH2FK3Lk0XLMh98PBhvXbHx0e3zPn9d5cuLLBVnz59ePzxx1m4cCFjx441O5wSK6fYQJJP/iT5lAD33nsvAL/Nnw9160JGhltNphfH/EceITo+nsQyZWi4YUPuXjvLlkHDhjB6tP65TBkoVcq8QO1s/Pjx1K9fn8GDB/PPP/+YHU6JJMnn2iT5lAB16tShYcOGzJ8/H2v37vrO8ePNDcoJVo4axZ0//8wRHx8qrV2Ld5ky+oHLCwsaNzY3SAcJCgpi2rRpADz22GOk5+yuKpxmx44dAFLpVgBJPiVE9+7dOXLkCP+0b69Lri/+w/BU/8bGUv+//yUbyJ49m+CoqCsLC2rU0B0LunUzO1SHadq0KUOHDmXbtm288847ZodT4mzbto0aNWoQGBhodiguSZJPCREdHQ3AL3/9BZ066YWUHroa/mhiIkb37oQB+99/n6r33KMfePRR+Pxz6NBBFxbk107HwwwePJgWLVrw8ccfs2bNGrPDKTGys7PZsWMHja5ewCwukeRTQtx0003UrFmTX375BWu3bmCxwPLlZodld5Zz50hs1YqozEw29OxJgzffzH3w6afh2Wf1xnoVKpgXpBP5+PgwefJkfHx8eOKJJ7hw4YLZIZUIu3fvJj09XZLPNUjyKSEMw6BXr14cOHCATTk7cw4ZYm5QdqaUYkXLlrRLSyOucWNa/PKLTrA51X2dOsFXX3lUYYEtGjVqxLvvvsvOnTsZ4mF/565q27ZtAPk3qxWAJJ8S5aGHHgJgUlycLi/esgWsVpOjsp/f77+frjt2sLV8eZqvXw8TJ0LnztCnj0e9z6IYNGgQrVu3Zty4cWzcuNHscDxeTvKRkU/BJPmUIE2bNiUyMpLpM2eiGjbU1V7z5pkdll2sGjaMO+bOZX+pUkSsW4fX66/rwoLq1fWiWq+S/b+6t7c3X3/9NYZh8Mwzz5CdnW12SB5NRj7XV7L/RZYwhmHw0EMPceTIEXa3bKnv9IBWO9tnzqTxiBGcNQx8p08n6Pnn4bPPoH17WLcO5LdPAG688UYGDhxIXFwcX375pdnheLTt27dTs2ZNgoKCzA7FZUnyKWEefvhhAEblNBddvdrEaIrvbFISpXv1Igg4+OmnVNmyRXcq6NdPd6YuIYUFtho2bBg1a9bkrbfeIjk52exwPFJWVpZUutlAkk8JExUVxc0338yUuXOxhoXBqVOwb5/ZYRXJhbQ0agwYQM3sbDb07Uujl16C11+HX3+Fb74pcYUFtihdujRffvklZ86c4eWXXzY7HI+0e/duMjIyJPlchySfEqhfv35YLBb+ad5c3+GG6z+U1cq6Zs1odeECiRERtDaM3D5tPXvqhbQiX3fddRc9e/Zk1qxZzJ8/3+xwPI4UG9hGkk8J1LNnT4KCghiac9ll4UJzAyqCZV260CEpiRQ/P+omJelebcePmx2W2xg3bhxBQUG88sor0nrHziT52MYuyccwjJGGYfxrGMYmwzDWGYbRyR7HFY4RFBTEww8/zKKtW7lQqxbMmaNbz7iJ1YMGcfuSJZzz8qJqenpuYUHFimaH5jaqVq3KkCFD2L17N+PGjTM7HI+Sk3wauPHWHM5gr5HPSqC5UupG4GlgpmEY/nY6tnCAp556CoCUs2fh9Gn44QeTI7LN1u+/p9mYMWQBpa1Wkjt3lsKCInrllVeoW7cu7733HikpKWaH4zG2bdtGREQEpUuXNjsUl2aX5KOUWqSUyunbsQXwBuTbwIXddNNNtG3blk9PntR3fP+9qfHYInnNGir064cBelfWTz5h24ABUlhQRH5+fowZM4azZ88yePBgs8PxCBkZGezcuZPGHtot3Z4Me+90aBhGP+BFpVSzAh4fCAzM+TkmJqZaTtPLorJYLPj7u/5Ay9XiXLlyJaPefx8LkO3nx9K5cy895mqxWo4fp8GTTxKZmckvDzxAhUceIat0aZeLsyCuGqdSirfffpu4uDjGjh1LrVq1XDLO/LjiZ7pnzx6ef/55HnroIZ544gnANePMjz3i7NKli+2VPkqp697Ql9WOF3Crftnzbgf2A/VtOe7FW7HFxsba4zAO52pxZmVlqVq1aqn9Xl5KgVKbNl16zJVizTx5Uh0KCFAKVFybNlc85kpxXosrx/nvv/8qHx8f1bJlS7Vw4UKzw7GZK36mkydPVoD69ddfL93ninHmx05x2vq9b9tlN6XUrUqpCgXcDgAYhtEB+A64Vym10+bsJ0zj7e3Nyy+/zPycvmeuOPH8779kVq5M5QsXOOXvT/M5c8yOyONERUXRv39/4uLiWLJkidnhuLVNmzYBupWVuDZ7Vbu1B34A7lNKbbLHMYVz9OvXj8mhoSjAun272eFcae5crI0bE5CRwa7SpQk4cgSjUiWzo/JIQ4cOpUKFCkyePJnzHrrPkzPEx8dTunRp6tSpY3YoLs9e1W7fAn7Ad4ZhxF+8NbHTsYUDBQUF8eCbb7IGyNy0CTIzzQ5J+/ZbVHQ0htXKb2XKUD4piVI522ALuwsJCWHYsGGcOHGCsWPHmh2OW1JKsWnTJm644Qa8SngjW1vYq9qtnlKqklKq6WW3LfY4tnC8F154gT9Ll8bPYsFi9mUXpWDkSHjqKc4B75YpQ7OtWykvpdQO9+yzz1KtWjU++ugjjh49anY4bufgwYOcOHGCG2+80exQ3IKkZ0FgYCD1+vUDIPM//zGvU8D589C6Nbz1Flu8vGgbEsKDq1dTvXp1c+IpYXx9fXnyySc5c+YMw4cPNzsct5Mz3yPJxzaSfAQA3UeP5qS3N8Fnz6IqVyZy4kTnbsC2ezeEh8P69ezy9ub2UqX4euFCaVHiZDfffDM333wzX3/9NTt3St1QYUixQeFI8hGA/q03/rffmAGQnU2tWbN014DL1v44zKJF0KABpKay3dublobB9zNn0q5dO8efW1zBMAxGjRpFdna2LDwtpPj4eAzDoEkTme62hSQfcUmnu+7i1549aQQcK1sWUlPh/vthwAC99YIjfPQR3H03KjOTOaVK0dQw+HnOHO666y7HnE9cV9u2bXnwwQeZM2cOK1euNDsct7Fp0ybq1asnbXVsJMlHXOGLL77gRFgYtTMzSR07Fpo10+t/IiPh2Wft14BUKRg7FgYPRinFu4GB/EcpZs2ezd13322fc4gi++CDD/Dx8eG1117LWUAuruHMmTMkJCTIfE8hSPIRV6hYsSITJ07k7NmzRM+eTebq1TBpki4GmDgRQkNh8uTinSQjA2JiYOBAzlepwoN+fnxgtTJr1izuuece+7wRUSz16tXjueeeY+3atcycOdPscFzexo0bUUrRMmd7enFdknxEHvfddx/33Xcff/31FwNffRWefBK2bdOjoHPn4IknoH59fV9hJSVB1aowcSIpjRpR4+hRVgQGsnTpUkk8Lubtt98mKCiIIUOGkOVGW26YIS4uDoBWrVqZHIn7kOQj8vX000/TsWNHxo8fz+jRo6FGDfjnH733T9mysGsXNG6s54Ns/WJaulQnrRMnSClXjhrbthFYtSqrVq2S4gIXVLFiRQYMGMDOnTuZMmWK2eG4tJzk0zxnd2BxXZJ8RL58fHyYMWMGjRs35rXXXsvdcOy++/Q6oIEDwc9Pzwc1bQrXW5w6bhzceScqI4O/ypal2smT3NKhA+vXr6dhw4aOf0OiSAYNGkS5cuV45513sFgsZofjstavX09kZCQhISFmh+I2JPmIApUvX54lS5YQFRXFgAED6N+/v7784uUFn3wCJ0/C229DYiLceSdUrw5//533QI8/jhowAKUU7/v60iE1lQEDBvDHH39QSXq1ubSQkBDeeOMNDhw4wFdffWV2OC4pNTWVxMREme8pJEk+4poqVarEypUr6dChA59//jm33HILW7du1Q8GBsKIEbBlC1SpAsnJ0K4d3HEHpKVBdjbq5ZdhyhSygWjgmypV+OOPPxgzZgy+vr5mvjVhoxdeeIFq1arx/vvvc+bMGbPDcTn//PMPgCSfQpLkI66rQoUKLF68mEGDBrF+/XqaNWvG448/zoYNG3QZbr16kJIC778Pvr6wdCmqQgWO16qF8dln/AU08PWlweuvs2XLFu644w6z35IohICAAIYOHcrx48el6Wg+cuZ7JPkUjiQfYZNSpUoxevRo1q5dy80338yUKVNo2bIl1apV47777uPFF1/kpUOHeKJ7d/4MDobsbCocOMBPPj7MiolhSUICH374IWWkM7VbevLJJ6lbty6jR4/muFm9/1xUXFwcXl5eNGuW7+bNogA+Zgcg3EvLli1ZsWIF69evZ9q0afz+++8sWLCA7OzsS89ZXqMGPW+6iYdDQ7nnf/+jd2ioiRELe/D19eXdd9/l4Ycf5sMPP9QVkALQyadBgwYEBQWZHYpbkZGPKJJWrVrxySefsHXrViwWCwcPHuTQoUOcPXuWffv2MXrJElrMmEEZSTwe4z//+Q9NmzZl/PjxJCcnmx2OSzh69ChJSUlyya0IJPmIYvPx8aFq1apUrlxZ+lp5MC8vL95//33S09MZMWKE2eG4hL8vVnfKOrXCk+QjhLBZt27duOWWW5g0aRK7du0yOxzTrV69GtDNWEXhSPIRQtjMMAw++OADsrOzGTp0qNnhmG716tWUKVNGFkoXgSQfIUSh3HLLLdx111388ssvxMfHmx2OaTIyMoiLi6NNmzZ4e3ubHY7bkeQjhCi09957D4C33nrL5EjMEx8fj8VikfmeIpLkI4QotGbNmtGrVy8WLlzIqlWrzA7HFDLfUzySfIQQRfLuu+/i7e3NG2+8USI3nFu9ejWGYdC6dWuzQ3FLknyEEEVSr149+vbty6pVq4iNjTU7HKf7+++/ady4sXSyLiJJPkKIIhs6dCh+fn68+eabWK1Ws8Nxmn379pGcnCzzPcUgyUcIUWTh4eG88MILxMfHM336dLPDcZrly5cD0LFjR3MDcWOSfIQQxfLGG28QHBzM22+/XWK2216xYgUAHTp0MDcQNybJRwhRLBUqVGDQoEEkJCTw/fffmx2OU6xYsYL69etTpUoVs0NxW5J8hBDFNmDAAMqXL8/w4cM9frvtpKQk9u3bJ5fcismuyccwjI6GYWQbhvGiPY8rhHBtZcqU4c033yQ5OZkJEyaYHY5D5cz33HbbbSZH4t7slnwMwwgGPgIW2euYQgj38fzzzxMeHs7IkSM9erttme+xD3uOfMYAowDZ5lCIEsjf359hw4Zx/PhxxowZY3Y4DqGUYsWKFURFRVG5cmWzw3Frhj1WJhuG0Q3oq5TqaRjG90CcUmp8Ac8dCAzM+TkmJqZadHR0sc5vsVjw9/cv1jGcwV3iBPeJVeK0r+LGmZ2dzTPPPENqairfffedQxdgmvGZpqSk0LdvX+6++25eeuklm15TUv7uAbp06WLY/GSl1HVvwEr0iCa/W3VgExB28bnfAy/actyLt2KLjY21x2Eczl3iVMp9YpU47csecU6bNk0BatCgQXaIqGBmfKaff/65AtScOXNsfk1J+rtXtn/v23bZTSl1q1KqQn43oCZQBVhnGEYS0AMYbhjGcJszoBDCY/Ts2dNjt9uOjY3Fx8eHTp06mR2K2yv2nI9SapVSKkwpFaGUigBmAMOUUsOKHZ0Qwu14eXkxcuRIj9tu22KxsHz5cm655RaCg4PNDsftyTofIYTdde3a9dJ22wkJCWaHYxerVq3i/PnzdO3a1exQPILdk49S6glVQLGBEKJk8MTttnM6d0vysQ8Z+QghHCJnu+1p06axYcMGs8MptkWLFlGlShVuuOEGs0PxCJJ8hBAO8+GHH+Ll5cWgQYPcesO5ffv2sX37drp06YJh2F5NLAomyUcI4TBNmjShX79+/Pnnn8ydO9fscIps9uzZANx3330mR+I5JPkIIRxqxIgRBAUF8d///peMjAyzwymSWbNmERgYSOfOnc0OxWNI8hFCOFTlypUZPHgwCQkJbtl09MiRI6xatYquXbsSGBhodjgeQ5KPEMLhBg4cSPXq1Rk+fDgnT540O5xC+e2331BK8cADD5gdikeR5COEcLiAgABGjuu5Nl8AAAyKSURBVBxJamoq7733ntnhFMqsWbPw9fXl7rvvNjsUjyLJRwjhFL1796Zly5aMHz+exMREs8OxyalTp1i6dCmdOnUiNDTU7HA8iiQfIYRTeHl5MWbMGDIzMxkwYIDZ4dhkxowZZGZm0qNHD7ND8TiSfIQQTnPrrbfy8MMPM3/+fObPn292ONc1depU/Pz8JPk4gCQfIYRTjR49mqCgIPr378+FCxfMDqdA+/fvZ8WKFXTv3l0uuTmAJB8hhFNVrVqV4cOHs3fvXj7++GOzwynQTz/9BECfPn1MjsQzSfIRQjjdSy+9RKNGjfjggw/Ys2eP2eHkoZRi8uTJlCtXThqJOogkHyGE0/n6+vLFF1+Qnp5O//79Xa7v28qVK9mxYwePPfYYpUqVMjscjyTJRwhhig4dOtCnTx8WLFjAtGnTzA7nCl999RUAzz77rMmReC5JPkII04wdO5aKFSvSv39/jh07ZnY4ABw9epQZM2Zw2223ERUVZXY4HkuSjxDCNBUqVGD8+PEcP36cl156yexwAJg0aRKZmZnExMSYHYpHk+QjhDBVz549iY6O5pdffmHOnDmmxmKxWPj000+pVq0a0dHRpsbi6ST5CCFMZRgGX375JaGhoTz33HOmXn774YcfOHz4MAMHDpRCAweT5COEMF2VKlUYP348hw8fpm/fvqZUv2VnZzNq1ChCQ0N5+umnnX7+kkaSjxDCJTzyyCP06dOH+fPn8+WXXzr9/L/88gsJCQk8//zzBAcHO/38JY0kHyGEy/jiiy+oXbs2gwYNYsuWLU47b0ZGBkOGDCEkJIRBgwY57bwlmSQfIYTLKFOmDD/99BPZ2dn06NGDU6dOOeW8X3/9NXv37mXw4MGUK1fOKecs6ST5CCFcSuvWrRk9ejS7du3ikUceITs726HnO3HiBCNGjKBq1ar079/foecSuST5CCFcTv/+/Xn88cdZsGABQ4cOdei5XnvtNY4fP87HH39MYGCgQ88lcknyEUK4HMMw+Oqrr2jVqhUjR47km2++cch5li9fznfffUfnzp3p3bu3Q84h8ifJRwjhkvz9/fntt9+oU6cOMTExzJgxw67HP378OI899hgBAQFMmDABwzDsenxxbZJ8hBAuq3LlyixevJiwsDB69+5tt91PrVYrjz76KMnJyUyYMIHatWvb5bjCdnZLPoZhPG8Yxr+GYWw1DGOzYRj+9jq2EKLkql27NosXL6ZMmTJER0czderUYh1PKcVrr71GbGwsTz75JI8//ridIhWF4WOPgxiGcR/wCNBGKXXKMIwwINMexxZCiCZNmrBq1SruvPNOHn30UXbv3k2rVq0KfRylFO+++y5jxozhlltu4YsvvnBAtMIWdkk+wGvAMKXUKQCl1FE7HVcIIQCIiopi9erV3Hvvvbzzzjs0b96cZs2aUaVKFZten56ezoABA5gwYQJNmzZl3rx5BAQEODhqURDDHj2UDMM4CXwM3Av4AVOUUp8V8NyBwMCcn2NiYqoVt3usxWLB39/1r/K5S5zgPrFKnPblDnGmp6fz1VdfsWjRIgIDA+nduzf33HPPNePesWMHn3/+Obt37+bGG29k6NChlC5d2inxusNnCvaJs0uXLrZXbSilrnsDVgLHC7hVB04D3wDeQDlgC3CXLcdWdhAbG2uPwzicu8SplPvEKnHal7vEqZRSw4YNUxEREQpQoaGh6oUXXlBz585ViYmJ6tChQ2rLli1q0qRJqnPnzgpQXl5e6u2331YZGRlOjdNdPlM7xWlTTlFK2XbZTSl167UeNwxjP/CzUiobOGkYxiLgJmChzVlQCCEKoW3btrz++utMnjyZTz/9lC+++CLfORwfHx969OjB8OHDadiwoQmRivzYa87nJ6ArsOxilVsH4EM7HVsIIfIVEBBATEwMzz77LDt37mT58uXs2bOHCxcuEBISwg033ECnTp2oWLGi2aGKq9gr+YwFvjYMYzuggOlKqdl2OrYQQlyTYRhERUURFRVldijCRnZJPkqpC8Bj9jiWEEIIzycdDoQQQjidJB8hhBBOJ8lHCCGE00nyEUII4XSSfIQQQjidJB8hhBBOJ8lHCCGE00nyEUII4XSSfIQQQjidJB8hhBBOJ8lHCCGE00nyEUII4XSSfIQQQjidJB8hhBBOJ8lHCCGE00nyEUII4XSSfIQQQjidJB8hhBBOJ8lHCCGE00nyEUII4XSSfIQQQjidJB8hhBBOJ8lHCCGE00nyEUII4XSSfIQQQjidJB8hhBBOJ8lHCCGE00nyEUII4XR2ST6GYdQxDGOpYRjxhmHsMAzjE8MwJLEJIYTIl70SxGhgrlKqKdAU6Ax0tdOxhRBCeBh7jk5CLv43APAFDtnx2EIIITyJUqrYN6AmsBlIAS4Ab17juQOB5MtuA+1w/mIfwxk3d4nTnWKVOEtmnO4Uq8SZ/824eNJrMgxjJdCggIebAc8BqUqpUYZhhAHLgP5KqWWFyINFZhhGslIq3BnnKg53iRPcJ1aJ077cJU5wn1glzvz52PIkpdSt13rcMIz+QO2Lzz1qGMYioAM6CQkhhBBXsNeczx6gG4BhGKWBTsBWOx1bCCGEh7FX8nkceMYwjM1AHLAYmGGnY9tijBPPVRzuEie4T6wSp325S5zgPrFKnPmwac5HCCGEsCdZCCqEEMLpJPkIIYRwOkk+QgghnM5jko879ZczDON5wzD+NQxjq2EYmw3D8Dc7pmsxDKOjYRjZhmG8aHYs+TEMY+TFz3OTYRjrDMPoZHZMOQzDqGcYxmrDMHZdjK2h2THlxzAMf8Mw5lyMM94wjFjDMCLMjutaDMMYZhiGMgyjsdmx5McwDD/DMMYbhpFgGMY2wzCmmh1TfgzD6GIYxgbDMDb+f3t3F2JVFYZx/P/QRHRhCFkwMpb2jRGaaCmEQ5hIkAh9gVSIEBReRESBSTB9QEwEXYRdNFANWRZEJgQOQZGhA5KCmBR9zziKF2WSBamlPV3sdWw6nTlzQs5e+0zv72aYYWA97NlnrbXX2uud1CetKaPdls75dIhafbkXU2e+G/gI2JY31j9JWgXcAyy2fSwdyv0jc6wJSZoGPAcM5c7SxA7gGdvHJc0Dtkvqtn0idzDgZWDA9qCkO4FXgCWZM01kABiy7TTRGKCo01g5khYAi4Gx3Fma6Af+BK5K17Q7d6B6kgRsBm62/VmacHwpaYvtX9vZdiWfDM5CJ9SXewzos30MikO5tk9nztTMC8DzwJHcQSZie8j28fTtfuAcYEbGSACkicUCoDbjfReYU8UnCtsnbG/z36+/7iIdHK8aSecBLwHrgEq+rpvOO66lKDVmANtV7I9qpqevFwA/ASfb3eBUGnweBu6SdJiixtzrtvdmztTIXGChpGFJe1J1iEqSdCsw3XaZZ7bO1lrgO9uHcgcBZgGHbZ8CSJ3QGHBJ1lSteQh4P3eICTwNvGF7JHeQJi6n6MSfSJ/zHZKW5Q5VL92TdwNbJB0AdgJrbP/e7rY7ZtmthfpyDwCbxteXk7SrrPpyNS3k7KK4MZdSPKl9Iulb26UvD7aQtR9YXl6ixibLaftg+r1lQB8VyDxO/cxcWVL8B5I2AFcCD+bOUk/SEmARsD53lkmcS/Hk+IXt9Wk5+ENJc23/mDnbGZK6gMeBVbaHJS0Ctkq6zvbRdrbdMYNPp9SXayHnGPBWWmo7mnLeQIa9qWZZJd0EdAOfFsvCzABWSrrIdl9JEYHJrymApF7gNWCl7a/an6olB4EeSV22T6X19VlUeJ9C0qPA7cAttn/LnaeBXuAaYCTdlz3AB5Lut12lfckDFPs9bwLY3idpBLgW2J4xV735wEzbwwC2d6fVo3nAx+1seCotu3VKfbnNpH+0l16M6AX2ZU3UgO2dti+2Pdv2bIpySX1lDzytkLQU2EQxe6vMtbT9A7AXuDf96A5g1PZotlBNSHoEWA0st/1z7jyN2O63PXPcfXkIWFGxgQfbRyheeFoBIOlSYA5QlYlRTW2CdDWApCsoVma+bnfDU6a8jqTrgY3ANIpH3q2M2+yrCknnU7wBtZBiSeYd209mDdUCSYPAHtsbc2epJ+kbio3S8Ru699nenynSGelDPQhcCPxCsZ7+edZQDUjqoeiIvgdqbzmdtH1jvlSTkzQK3Ga7chNNSZcBr1L87U8DT9l+L2+qf5O0GthA8aQm4Fnbb7e93Yr1zSGEEP4HptKyWwghhA4Rg08IIYTSxeATQgihdDH4hBBCKF0MPiGEEEoXg08IIYTSxeATQgihdDH4hBBCKN1fZDxBi64R5VgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfec5d7518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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It3LqlN4s9Px5fUGpM6shExKgUyc906lZU1e3Pfyw846Xw8nMR3iEatWqAbBjxw6LIxFuZfRovYXN5587t8Dgv/90yfbcudCtG6xdq/e5EVmWm2c+Uu3mQWTmI9I1dKhee3n8cecdY9o0ePll3QBu/Hjo3TtXNn0zW269wBRk5uNRKlSogJ+fnyQfoW3YoNsU+Po6L/EkJ+udqLt3h8KFdQ+etKIGkW259QJTkOTjUby9vQkPD5fTbkJv0Nmokd7CxlkOH4YWLfRMp0UL2LQJmjRx3vFyGaWUJB/hOapVq0ZcXBwXL160OhRhlU2b9JpL8eL6T2dYsUKfylu7Ft58U/cAKlHCOcdycz/++CM1a9akXr16REVFmTrerl27LE0+rmgTnhHTko9hGHkNw5hjGMYewzCiDMNYaBhGebPGF1raus/u3bstjkRY4vBhXV2Wmgpz5ujGbGZSCj77DFq31q22f/0VRo1y2zbXzma32+nfvz8LFixg06ZN1KlTx7TxVq1aReXKlZ2WfFq0aEFsbOxtn+OKNuEZMfsnajKwQCmlDMN49crXnredrRu7vuggbYddkUtcvKh3qY6Ph59+Mv8U2Pnz1P74Y1i9GqpUgdmznVu2nZEOHSAm5o5Py2+3Z61FQ1iYvjbpDk6fPk3jxo05f/48Dz30ED179qRXr16ZP14G43Xr1o0WLVpYOvO5vk14ZGQkoaGhprcJz4hpyUcplQjMv+6udcAbZo0vNCm3zsX27IF9+2DwYHjqKXPH3rkTHn2Ukrt26YtVp0yBAgXMPYaHKVKkCEOHDmXOnDlMnz79atvsmyvTOnfuzN69e9MdY+7cuRQsWDDd8Y4ePcrOnTstrXSLjIzEMAx+/PFHkpOTuf/++1m3bh2tWrUiISGBAgUKOC0+QynlnIEN43vglFKq70339wP6pX0dERER3KlTp2wdKzExkbwesG27GXEmJyfTqVMnGjduzKBBg0yK7Fa56T11BbPizHviBInFiplabVZi1SpqjBmDV1ISO555hsNduri8mq148eJUqFABr0zMZJRSGE6O84MPPiAoKIg+ffrQvXt3vvnmm0zPVK6P8/rxTpw4wcsvv8y0adMICAhwaKyEhAQ++OADli9fzvZ0eoT37t2b//77D4D9+/cTEhJydd+46dOnE3JTT6dq1aoxf/58ypcvj1KKpk2bMnnyZKpXr37b79dut7N//35OnDhxw/1t27Z1/B9EKWX6DXgPWAv4O/D8bFu4cKEZwzidWXFWqlRJValSxZSxMpLb3lNny1acM2YotW2becGksdmUevNNpUCpoCClli+35P1MSUlRO3bsUCkpKZl6XUJCgpMiuqZFixZq2bJlas2aNSo8PFwNHjxYxcXF3fCcxx57TNWuXTvd24EDB26IM208pZSaMWOGKlu2rBo0aNAtY97Jfffdd8fnNG/eXO3fvz/Dx+Pj41VISMjVr48ePaoKFCigbDbbbb9fpW77b+ZwnjB9FdEwjDeBR4HWSqlLZo8v9LrPn3/+mavLNHONlSvh6af1GkxUlHltqI8dgyef1FVtTZrowoLgYL1ZqAD0B/PNmzdTr149zp8/f7Vt9s1mzpx523HOnj17y3gARYsWpVGjRgwZMuTqc48ePcqTTz55w+vr1KnDuHHjsvnd3OrmNuHbtm1Lt024s5iafK6cUnsKnXgSzBxbXFOtWjX++OMPoqOjqV69utXhCGfZu1d3I/Xzgx9/NC/xrF2r13Xi43Ufns8+A/kQc4vo6GiKFi1KYGAgf/31V7arwq4fDyAqKoratWvf8JySJUuyYsWKbB3HUTe3CY+KinJKm/CMmFlqHQJ8BgQCy6+UW/9r1vjimho1agD6k4rIoc6c0ZuFJiTA9Ol6E8/sUgomTIDmzfX4P/yg94OTxJOu8PBwYq5U3RUrVoy5c+fy559/mjKe3W4nf/78rFy5MtNjRkREsGvXLiIiIq6Ol54VK1ZQ/jal+EOHDmXgwIFXv37xxReZMGECYM73eydmVrsdAmTPDReoVasWAP/99x9dunSxOBphOpsNnnhCt0kYNw4efDD7Y166BD176j3awsJ0GfWVnyNxZ2a1zU6TnJxMvXr1aN++PWXKlMnUaydNmmRaHBkx+/tNT+68cszDVa5cGR8fn6tVLSKHMQyoVEnvGN2nT/bH27sXHntM70r98MPw/fdw5dSPsEZubqWQRpKPB8qTJw9Vq1Zl69atVocinMHHR58eUyr7Jc9z5+pNQc+d0w3g3n3XvLUjkWW5uZVCGvkp9FA1a9YkLi7uaiWNyAHmzYMXX9Q7SRtG9pJEaqpu+Nahg+4wunAhvP++JB43kZycDEjyER4obd1Hig5yiP/+07sWzJkDR45kb6xTp+CBB/RMp3592LjRuU3mssnZF4q6o7Tk4+fnZ3EkWaOubE6QnX87ST4equaV6idZ98kBjh7VazFJSbpVQrlyWR9r40adcBYv1rOo1avN33zUZIZhYBjG1XWQ3CApKQkvLy+PbSKXmJiIt7d3pnakuJms+XiotJmPrPt4uMuXoVMnOHAAvvsO7r0362N9841u9Abw1Vc6+XgAwzAIDAzk2LFjBAcHO/xp2m63k5qa6uTosi+9OJOSksiTJw92u92iqG7lyPuplCIxMZHDhw8TFBSUreNJ8vFQwcHBFC5cWGY+nu6NN+Dff3UhwLPPZm2MxERdFffVV1C2LMyaBQ0amBunkwUFBREXF0d0dLTDr7l8+TL58uVzYlTmuDlOpRTx8fHky5ePPXv2WBjZjRx9P729vQkKCqJw4cLZOp4kHw9lGAY1a9YkKirKJRssCifp3x8CAvT6TFbExeky6o0b4f77dauFYsXMjdEFvLy8qFChAna7/ep6wp0sXbqU1q1bOzmy7Ls5zvj4eB555BF69erFqFGjLIzsRo68n4ZhZOtU2/Uk+XiwWrVqsXrlSg4cOEC57KwTCNe7eFEnnfBwGDMma2MsWaKLFE6d0pVsQ4boyjYPltlfbJ6yZnJ9nHFxcSQmJhISEuJ28bsyHik48GBvL11KMnD0m2+sDkVkxpo1ugggq5t42u0wfDi0bQspKbox2rBhHp94cov9+/cD3Hbrm9xAko+neuYZQnbtwhuo8OWXVkcjHBUbqwsMLl2C4sUz//qEBP3699+HGjUgMlJXygmPkdbaWpKP8Dzz58OPP6J8fFBA0RMn9Kdh4d7OndObhZ48qXepzmwb9K1boWFDvWvB00/r3akrVnROrMJpJPloknw8zYYN8PjjULgwxubN7Pbzw1sp/QtJuC0jNRW6dIHt2+HTT/XsJTN+/BEaNdIzp/Hj9Y7UDna/FO4lNjaWggULZrtazNNJ8vEky5dD06Z6ljN3LtSowZor1/tc+le6V7izoLVr9RY3L7wAb77p+AuTk3UZdbduULgw/P23vpZHqhs9VmxsLOXLl8/1FaqSfDzFzp16gTk5Wf/yatIEgAudO3MRSHJi3w2RfceaNtXdQidOdDxxxMdDy5a6507z5rqc+u67nRuocKrU1FQOHDiQ60+5gSQfz3DyJNx1l+7z0qULfPTR1YfqNG7MMqDQ1q1w8KB1MYr0RUXpbXNAdw91dCPJv//Wa0Jr1uhrgZYuhZIlnRencInDhw+TkpIiyQdJPu4vOVl3sbxwQc92pk+/4eE6depwBvBSKuvXiwjn2LFDz1ieeMLx16T9O953n/43nzEDRo/WbRaEx5Nig2sk+bgzpaBZM73xZIUKepPImxQsWJA/0zohStGB+zhxQle2XboEr7/u2GvOn9cz2/79dTO5tOISkWOkJZ8KFSpYG4gbkOTjzkaM0Pt+lS+vt9zP4Opv73vu4TKg9u3TFx0KayUlwSOPwP79eo2nVas7v2bXLl3N9uuveruc9euhalXnxypcSmY+10jycVdjx8J770GtWnrdIH/+DJ9av359ogBDKV2CK6yjlN5N+p9/9AzGkZ2lZ83S1+/s3g2jRukEVKCA82MVLifJ5xpJPu5o5Ejo10+X1s6fD4UK3fbp9erVY1raF1OnOj08cRunTulZy8MP6+t5biclBd56Sxci+PvrooI335Qy6hwsNjaWQoUKERgYaHUolpNVTHfzyy/w9tv6799+C8HBd3xJvXr1aA98Dni50RbtuVKxYnrnAV/f2++1dvy4Xt9ZsQIaN9aznZAQl4UprLFv3z6Z9VwhMx93snYtdO2q/z5uHHTs6NDLAgMDKRMWxoICBXQL5qNHnRikSNeGDdcKPooUuf1ps3XrdBn1ihX6gtG//5bEkwskJydz8OBBwsLCrA7FLUjycRf790OLFnr3gj59HK+QuqJhw4ZMP39ef7FwofnxiYwdPAgdOuj2BidOZPw8peCLL3QF4+nT8P33eqscR6/9ER4tNjYWu91ORdmPD5Dk4x4SE/Uvr+Rk/ef//V+mh2jcuDELAQV6u33hGhcu6PWdo0f1adIMdqr2SkzUnUpfeQXKlNGz3O7dXRyssFJMTAyAzHyukDUfq9nt8MwzsG0bPPec/gWWBY0bN+YkkOzri190tL6+xN/f1FDFTVJT9WnSLVt0P52MrsmJiaFx3756dvvQQ3rGk8s3lcyN9u7dC0jySSMzH6u1aqUXmzt3hmw0hatbty5+fn7sSFtrmDzZpABFht5+W6/zdOumy+LTM28e1K9P/thYvS3S779L4smlZOZzI0k+VurUSS82Fyumr8/JRm/0PHnyUK9ePb5ITNR3/PijSUGKDIWF6XW6r7++tTw6NRUGDdKn5Ly92fjRR/DBB9n6NxaeLSYmBl9fX8qk7UiSy5n6P8EwjEqGYawxDGOPYRjrDcOoZub4OUrfvvpTcJ48uvopb95sD9mkSRO+uXQJ5eWld0QQztWrFyxbBn5+N95/6hQ8+KCe6dSrBxs3cqpBA2tiFG4jJiaGChUq4C3tzgHzZz5fApOVUuHASCDr55FysnHj9M3LC/76S3+CNkHjxo1RwLnixXXxwsqVpowrrrNnj57NpFW13TyT2bQJGjSARYt0755//tHbI4lczW63s2/fPjnldh3TCg4MwwgC6gFtrtw1CxhvGEZ5pVSsWce5xdq1JI9exobvd97yUJVWpSlQKj/JF5L574/96b68zqNh+OT14eyhc8SsPnLL475+XtR8pBIAx7afIH7r6VueU6CYHxVblwfgwNrDnD5w4ZbnFA8tQDGvI7B9Oyn93wJ82PT+b1xIugdjuX5O5cpQurT+++rV6W/TVreu3vAgKUlv+3Y9w2gO3MvC8ql0OXaMS/9sZqPR7LrH9Z958ugODaBbxuxP562Jjb3WJTMmRl8TebNSpa79Xt22TRd+3Sw0FIKC9N83btRno25Wtaq+LCY5OeMJW506emPnc+cgOvra/dHRBSlWTF/TeaWvHsePw+HDt45RoMC1rtN2exbOgJ0+rQsGYmJ0kUHr1jc+/u23ejakFPYvvyTu/vs58d9/nDlzhk2bNuHv70/p0qUpW7Ysvr6+mTy48GSHDx8mKSlJks/1lFKm3ID6wI6b7lsPNLvDa7Pn7ruV0ldQeMwtGV/VkmW3PDR58rVvq1Ch9F/+zz/68UOHMj5Eo6qNlfL1Vccbtk/38dKlrx1n7Nj0x6hX78TV57z4YvrPef31a+M0aZL+c8z6ns6c0c9ZtCj9xx35nu6//9pz3n5bqZYtlfrlF6WSkhz4OUtKUqpFCz3Q+PE3Pnb5skp54QWlQJ0uWFA9U7Wqypcvn0JXvt9y8/LyUrVq1VIRERHq999/V5cvX3YgANdYuHCh1SE4zFNiXbhwoVq+fLkC1Lhx46wOJ0MmvZ8O5wxD6SSRbYZh1Ae+V0pVv+6+DUB/pdTK6+7rB/RL+zoiIiK4U2b72V+n2L//Ev/rIZS69WNs6Xo++BX3I/VSKnErk9J9fbmWfnj7eZN4JInDW279WO6TB8q10iXL56Ivczzm1jECCilKNdHPObH5EmeP6SmGUtcWoYsE2ylU1RcfX19Wnr+LXX41bxmnZs3TlCt3EYAFC0Kw2W7d4+uee45RtGgyly97s2RJ8JXjXHt80aJF7N//LseqV6TIrt3067aa5Lw3Xm2fN28q7drpqcHevQXYurXILccJDDxHy5Z70mc2AAAgAElEQVRnANi0qSixsbdubBoWdo7atfVzli8vyenTfrc8p27dU4SG6inRnDllsdlu/Xdq2fIIxYolcemSN3/+mf5ibMeOB8iTx87Ro/n4++9rTdVSUlLw8fEhX75UOnQ4AMDu3YXYvPnW76lEiURattSz2wkTqrJgQQgpKV4EBibRps1h2rU7ROnSl289uFJUHzuWkMWLievQgV29e1996HhkJI1Hj6ZSQgKLga5ASqFChIWFUa5cOYoUKUJAQAA2mw273c7JkyeJj49n9+7dnD6tZ9H+/v40b96cDh06WL7VfmJiInlNWH90BU+JNTExkRUrVjBu3DiGDBlCo0aNrA4pXWa8n23btnV8Y8LMZKrb3YAg4Czgc+VrAzgKlL/Da7PNkz4BOduoUaMUoI6lzQgHD87SOLnhPT12TKkRI5QKDb02O1q1Kp0nTp6sH2zXTimbTSml1Jo1a9R7jRqpE1deOLFoUfXJsGFq8+bNKjU19Y5x2u12tXfvXjVq1ChVv379q7Oihx56SG3dujXL31N2ecq/u1KeE+vChQvVu+++qwC1Y8cOq8PJkKtnPqYVHCiljgObgW5X7noMiFXOXO8Rt7j33nsBWJS2GDNzpnXBuLmgIH2pTnQ0LF4MPXroPT4BIiN1ZXRcHPri0V69YPp09h88yGOPPMLcu+9m6L//4u/jw+6RI+l54gTvvP8+derUwcuBxSTDMAgLC+PNN98kMjKSdevW0blzZ+bNm0etWrXo0aPH1ZmR8Hx79+7FMAzLZ7buxOxqt55AT8Mw9gDvAD1MHl/cQb169QgICGDKoUN6hX7XLr26LjLk5QX3368v10nrVv3TT/Dxx7qB7ANdA5nd+n98OPZzGlWpQvc5cxgO2CpVwn/HDioPGICRzTYIjRo14tdffyUyMpKWLVsyZcoUqlWrxm+//Zb9b1BYLiYmhpCQEI84TegqpiYfpdRupVQTpVS4UqqBUmq7meOLO/P19eXuu+9m3fr12KtW1eVl0l4700b1jWdB8WfoUD2GxYsVjz3mw6whjfjXno9OAF27knfzZt3u2kT169dn6dKlfP/99yQnJ/Poo4/y0ksvkZh28bDwOEopYmJipNLtJnK5dQ7UvHlzEhMTOZB2Dkm22smcS5fwfrQj7U78QJ+7huPtHcZTPMY6OlFOXYT//Y+U76axcFVAuqXj2WUYBt27d2fHjh20adOGr7/+mrvvvpv96dXEC7d3/vx5zp49K8nnJpJ8cqBmzfS1Pb8GBemLe3bvtjgiD5K20WtkJHPr1KHdlClM8jvJT8zGv1QhjBUr4LXX+HO+Qfv2+jqmYcP09VJmK1myJPPnz2fQoEFERUXRqFEj1q9fb/6BhFPFX/nhkORzI0k+OdBdd91F3rx5WbJ+vb4oMjYWEhKsDsszDBwIs2axuEgRekZFsTkwkOfPn4dmzTA2bcJoeg+gNzEYOBBsNv1n2bLw6KO6P5yZvL29GTJkCHPmzOHChQu0bNmSefPmmXsQ4VSHDh0CIDw83OJI3IsknxzIz8+Pxo0bs2bNGlLbtdPrPosXWx2W+9u7FzVyJJt9fRl5+jS7AwKonpAA/frB0qVQ8tr1RcHBMHSoroabPVtvdjBnDixYcG24S5fMC61Dhw4sX74cf39/OnXqxIwZM8wbXDhVWvKpXLmyxZG4F0k+OVSzZs24ePEi/5Uooe8YMsTagDzAqiNH6JAnD7+npLDYy4sCAL/8Ap99pvfvSYevLzzyiG4eGxOj94sFvdVQmTLwxBN671EzCg4bNWrEP//8Q4kSJejatSu//vpr9gcVTnfo0CEMw5AOpjeR5JNDtWzZEoD5u3bpHbN37kx/szgB+/ezcOpUOrVuzXPJyXyoFF6VKsH69Tp7OKhChWuTo+PH9YbWv/6qZ0UvvtiUUaNu32XbEeHh4SxfvpygoCCeeuopZs2alb0BhdMdOnSI8uXLS5n1TST55FBNmjQhICCAJUuW6F05ldI9g8SNEhI4d++9VHvuOdalpvJYSopevFm/HqplvSNIaCgsWaIvYB0wAC5e9OWtt+C++7Ifcnh4OCtWrLiagP7666/sDyqcwm63Ex8fL6fc0iHJJ4fy8/OjefPmrFmzhsTOnfWd331naUxux2bjaPPmFDx8mCCgolIwcqTeFaJgQVMOUbGiHvKHH1bw88+6v1ya/v1h7Fi9WXZmhYeHs2jRIvLly8cjjzzCf9K/yS0dOHCA5ORkKTZIhySfHKxNmzbYbDb+qlBBl1xHRlodkvtQir3t21Pyyi9tnyJFMJYs0dOUbO5WkJ48eRRPPqm7pYMuRpg2TdcylC4N3bvrNhqZ2ee3Zs2azJkzh8TERNq3b8+BAwdMj1tkz549ewApNkiPJJ8crE0b3Vpp0d9/69XvS5ekw+kVu559lorLlgFwuVYtfLZsgVatXHZ8f39dKffDD9CwoU5E994LNWvC+fOOj9OyZUumTp1KfHw8nTp14pKZJXYi23ZfucZOks+tJPnkYFWqVCE4OJjFixfDyy/rO2X2w6avvqLclfWvhMceI9/69RAS4vI48uaFbt1g1SrdjK9PH120UOBKB4x//tEd1u80G3ryyScZMmQImzdv5qWXXkrbZV64AUk+GZPkk4MZhkGbNm3YtWsXhx98UJ9Ouv5ClFxox/z5lOnZE4AD/fsTOHMm+N3ah8jVqleH//u/G7fhe+staNJEd6+dOFF3cc3IBx98QKdOnfjpp58YM2aM8wMWDtm9ezd+fn4EBwdbHYrbkeSTw6Wdepu/YYM+vzN/Ply8aHFU1ohdupSiDz9MUaXYO3QoZUePtjqk2/riC+jdG/bt03+WLg0vvQQHD976XC8vL6ZOnUrVqlV56623WGH2VgsiS/bs2UNISEi2dz3PiST55HBt27bF29ubuXPn6vM5ly7Bl19aHZbLndi3jyJt2lDCbie2bVtqDhxodUh3VLs2TJgAR47odg/VqumCxbS2Dxcu6FuaggULMmfOHPz9/Xn66ac5kd2LikS2XLp0iQMHDhBiwSldTyDJJ4crXLgwzZo1Y8mSJSR27arv/Plna4NysaTLl0msXp2CSnEqJIRQDzv1GBCgG92tXw979kCpUvr+SZP0bKhXL4iK0veFh4czceJE4uPjee6552T9x0LR0dEAknwyIMknF+jQoQOJiYksLlJEd07LRRVvSil2V6xImcRELuTLR9HoaKeUUrvK9Y0wy5fX1xFNmqTXhRo1gilT4JFHuvHss88yf/58xo4da1msuV1asYEkn/RJ8skFHn74YQD+mDdP/7ZKToaVKy2OyjU2tGhBrfh4kr28yLdzpy4xyyE6d4aNG/WMqEcPXTHXo4ee2I4fP57KlSvzzjvvsGnTJqtDzZUk+dyeJJ9cICwsjGrVqjFv3jzsHTroO8ePtzYoF1jxv/9RY+VKUoHk+fPxLlfO6pBMZxi6juTrr3VPoQkT4MknIX/+/Hz66WxSUpbTocNMEhKSrA4119m1axeAVLplQJJPLtGhQweOHTvGpmbN9G+sK/8xcqodf/1F2Btv4AMc//ln8rdta3VITleokK6Ky59ff335cjW8ve/i8OHhlCqVSt++en9Z4Rrbt2+nbNmy+Pv7Wx2KW5Lkk0t06tQJgF9WrtRX8kdHm9twxo0c37aN4NatKaMUse+/T6knn7Q6JEs8+SQcPmwQEvIZiYlxjBunK+befdfqyHK+1NRUdu3aRfXq1a0OxW1J8skl7rrrLsqVK8cvv/yCvX17SEyE5cutDst0iefO4VWvHoWU4kjVqoQPG2Z1SJYKCvJh4cJ2+PrWoUyZbnTpksK99+rHlIJPP9UVdMJcMTExJCUlSfK5DUk+uYRhGHTp0oWDBw+ypUgRfecHH1gblMmUUhwODaWYzcbpggUptXWr1SG5herVqzNs2EccPPgjwcFv88AD+v4NG+Cdd6ByZd3qYcYMsNk8txLQnWzfvh2Aatloy5HTSfLJRZ68cvppSmSkvlJx61ZzWmy6ia316xN26hSXvL0J3L8fvL2tDslt9O/fn0aNGjFu3Dg2b94M6EKFv/6CLl30/nJdukD37s0ZOtTiYHOAtOQjM5+MSfLJRerUqUN4eDi/zpqFqlYNUlNv3EzMg22KiKDm5s2kAGrtWrzSZncCAG9vb7788ksMw+Dll18mNTUVw4CWLWH6dDh0CEaMgHz5UomNvfa6nTvBZrMsbI8lM587k+STixiGwZNPPsmxY8eIadBA35kDttrZ/vvvlP/yS2zA6a++IqBhQ6tDcku1a9emX79+REZG8sUXX9zwWFAQvP02fPPNKsaN0/fZbPp0XNmy8P773JCUxO3t2LGDcuXKkT+t9FDcQpJPLvPUU08BMCptc9E1ayyMJvsu7tlD3s6dKQTEjB5N0IsvWh2SWxs8eDDlypXj/fff59ChQ7c87uV1rYmrzQavvqo3/R4+XLcGf+AB+P13PWkW6UtJSZFKNwdI8sllqlSpwj333MP3v/+OPSgIzp7VXc080OUTJ2j9xhuEpaSwuVs3qvbvb3VIbi8gIIAvvviC8+fP8/rrr9/2uf7+8N57EBOjN0Pv0AEWLdKtodKSj2wdd6uYmBiSk5Ml+dyBJJ9cqEePHiQmJrKpXj19x7p11gaUBSo1lYTQUAra7cQHBdHg+++tDsljPPDAAzz++OPMnj2befPm3fH53t7Qvj3MmQMHDsBPP0GePPqxV1+Fjh11cpLZkCbFBo6R5JMLPf744+TPn59Baadd5s+3NqAs2Fu1KqUuXOCMjw8lY2M9erNQK4wbN478+fPzxhtvkJTk+NY7wcF6HSjNmTMwbx48+KA+LTdsmG4BkZtJ8nGMKcnHMIzhhmHsNAxji2EY6w3DaGXGuMI58ufPz1NPPcWCbdu4XKGC/kibkmJ1WA7b1bEjlaKjSTIM1n/5JV758lkdkscpXbo0H3zwATExMYxLqzDIgp9+gv37YeBA/SM0cCCUKQNXfv/mSmnJp2rVqhZH4t7MmvmsAuoppWoDLwGzDMPIOdsH50AvXlmYj79wQfdn/uEHiyNyzLavvyb8jz+wAwkzZ+qP4iJL3njjDSpWrMiwYcOIj4/P8jhly8LQoXrp8Lff4Pnn9TY+oDdPHzECjh0zKWgPsH37dsqXL09AQIDVobg1U5KPUmqBUurylS+3At5AMTPGFs5x11130aRJE/7v9Gl9x3ffWRqPIw79+y9Fe/bEBsQNHEiJRx+1OiSP5ufnx5gxY7hw4QLvvPNOtsfz8YFOneCrr66dBf3mG72XXJky8MQTsGxZjrqu+RbJycns3r2bGjVqWB2K2zPM7nRoGEYP4FWlVN0MHu8H9Ev7OiIiIjht08usSkxMJK8H9GlxtzhXrVrFqI8/JhFI9fNj2e+/X33M3WK1HTpE5V69qGSzMaNTJwpFRADuF2dG3DVOpRQDBw4kMjKSsWPHUqFCBVPjtNkM1q4NYv78MkRFFQWgdOmL9Omzgzp1TmdrbHd8T/ft20fv3r158sknee655wD3jDM9ZsTZtm1bxxdflVJ3vKFPq53M4FbmuufdBxwAKjsy7pVbti1cuNCMYZzO3eJMSUlRFSpUUAe8vJQCpbZsufqYO8VqO3JEncmTRylQG5o0ueExd4rzdtw5zp07dyofHx/VoEEDNX/+fKcdZ88epQYMUKp4caV27ND3Xbqk1IoVStntmR/PHd/TqVOnKkDNmDHj6n3uGGd6TIrT0d/7jp12U0rdq5QqlsHtIIBhGM2Bb4GHlVK7Hc5+wjLe3t68/vrrzEs7D5KNhWeniYwktUwZApOTOVqgAPVXrbI6ohynSpUq9OnTh8jISJYuXeq041SqBCNHwuHDkLYWP2MGtGih14jGjoXT2ZsMWW7Lli2A3spK3J5Z1W7NgB+AjkqpLWaMKVyjR48eTA0MRAH2HTusDudGP/6I/a678EtJIapgQYocPYohm4U6xaBBgyhWrBhTp07lkpP7PPn6Xvv7PfdA375w/Dj06welS0P37nrHbU8UFRVFQEAAYWFhVofi9syqdvsG8AO+NQwj6sqtpkljCyfKnz8/j733HusA25Yt7rOL5MSJqG7dMJRiWmAgZfbtI490hHSaQoUKMXjwYE6dOsXYsWNddtyKFWHMGD0b+uEHvdP2tGlw/QQsMdFl4WSLUootW7ZQq1YtvLzkEso7MavarZJSqoRSqs51N2mm4iFeeeUV/g4IwC8xkUQnnnZxiFJ6I7HevbkIvBUYSPP//qNo0aLWxpUL9OzZk+DgYD799FOOHz/u0mPnzQvduunWDtu2wUsv6fuPH4eSJXX59rp17r2dz+HDhzl16hS1a9e2OhSPIOlZ4O/vT6UePQCwPfEEnDxpTSDnzkG9evD++2z18qJJoUI8t3o1ZcqUsSaeXMbX15fnn3+e8+fPM2TIEMviqF4dil25UOPYMb0+9N130KQJ1KkDX3yhf1TcTdp6jyQfx0jyEQB0GD2a097eFLhwAVWyJOGTJ7v2gozt2yEkBKKi2OntzX158vDl/PmyRYmL3XPPPdxzzz18+eWX7N5tfd1QzZqwdi1s2QK9e+vdFF55BR5+2OrIbiXFBpkjyUcA+lNv1B9/MBMgNZUKs2frj5/XXfvjNL/9pj/Snj/PJh8fGhgG382axd133+38Y4sbGIbBqFGjSE1NNeXCU7PUqgUTJuh9477+GgYMuPbYa6/pC1svXLAuPtDFBoZhULOmLHc7QpKPuKrVAw8w4/HHqQ6cKFxY7xr5yCO6HOnsWeccdMgQePRRVEoKP/v50dgwmDFnDg888IBzjifuqEmTJjz22GPMmTOHVW5W2h4QAD16wEMP6a9PnYKpU3Wbh9KloVcviIqyJrYtW7ZQqVIl2VbHQZJ8xA0mTJjAqaAgQm02zowdC3Xr6ut/wsOhZ0/zNiBVCj77DD78EGUYvB8QwLN2O7Nnz+bBBx805xgiyz755BN8fHwYMGBA2gXkbqloUV0pN2mSrpybNEn/yN59t2sLN8+fP090dLSs92SCJB9xg+LFizN58mQuXLhAp99+w7ZmDUyZApcuweTJEBioP2pmR3IyRETAm29yqVQpHsqTh7GpqcyePZuH0j7SCktVqlSJXr168e+//zJr1iyrw7mtAgX056KNG+Hff+GFF/Rmp2nXE/39t66gc6bNmzejlKJBWnt6cUeSfMQtOnbsSMeOHVm5ciX93nxT17lu364/Ul68CM89B5UrZ23f/JgYXTs7eTLx1atT9vhx1vr7s2zZMkk8bmbgwIHkz5+fDz74gBQPaLlhGHDXXXoz059/1vcppQsUatbUF7R+/z1cvnz7cbIiMjISgIYNG5o/eA4lyUek66WXXqJFixaMHz+e0aNH64+Smzbp3j+FC8OePVCjhl4PcvQX06JFum72zBkOFStG2e3b8S9dmtWrV0txgRsqXrw4ffv2Zffu3XzvYZ1ir+8tOHkyPPOM/vF99lndhaNvXzhxwrzjpSWfemndgcUdSfIR6fLx8WHmzJnUqFGDAQMGXGs41rGjvg6oXz/w89PrQXXq3HhJeno++wzat0fZbPxVtChlTp6kafPmbNiwgWppzV+E2+nfvz9FihThww8/JNFTthq4jmHo9Z+pU/Xa0LhxUKKETkhprcDPnYNMNHNN14YNGwgPD6dQoULZDzqXkOQjMlS0aFGWLl1KlSpV6Nu3L3369NGnX7y8dDI5fVq3rty7F+6/XzdtWbv21oG6d0e9+SZKKT709eW+U6fo27cvS5YsoUSJEq7/xoTDChUqxLvvvsvBgweZNGmS1eFkS5Ei8PrrsGOHrohLyxMjR+rZ0Jtv6gl9Zp05c4a9e/fKek8mSfIRt1WiRAlWrVpF8+bN+fzzz2natCnb0lZv/f11C8utW6FUKTh0SH/MbN0aEhIgNRX1+uswbRqpwMPAd6VKsWTJEsaMGYPv9TtMCrf1yiuvEBwczMcff8z58+etDifbDEPvsJ2mQgWdmD77TC9ltmqld9tOTnZsvE2bNgFI8skkST7ijooVK8bixYvp378/GzZsoG7dujz77LNs3LhRl+FWqgTx8fDxx7rEaNkyVLFinKxQAeN//2MlUMXXlxpvv83WrVtp3bq11d+SyIR8+fIxaNAgTp486dJNR12lRw/YvVt3WX3iCVi9Grp0gblzHXt92nqPJJ/MkeQjHJInTx5Gjx7Nv//+yz333MP3339PgwYNCA4OpmPHjrz66qu8duQIz3XowN8FCkBqKsUOHuQnHx9mR0SwLDqaESNGULBgQau/FZEFzz//PBUrVmT06NGctGrvPycyDD3j+eUXPYH/7DPo0EE/tnEjtGkDs2alf+1QZGQkXl5e1K2bbvNmkQEfqwMQnqVBgwasWLGCDRs2MH36dBYtWsSff/5Jamrq1ecsL1uWx++6i6cCA3no66/pGhhoYcTCDL6+vnz00Uc89dRTjBgxQldA5lBBQbqeJs369fDXX7Bkib5KoEcPvet2uXL68cjISKpWrUr+/PmtCdhDycxHZEnDhg357LPP2LZtG4mJiRw+fJgjR45w4cIF4uLiGL10KfVnzqSgJJ4c44knnqBOnTqMHz+eQ4cOWR2Oy/TqBQcPwrBhusDz44/1OtGoUXD8+HFiY2PllFsWSPIR2ebj40Pp0qUpWbKk7GuVg3l5efHxxx+TlJTE0KFDrQ7HpUqVgvff19dIz5+vT8k1bgxr164FvDh/PoJclI9NIclHCOGw9u3b07RpU6ZMmcKerNQlezhvb2jfXl9rfe+9sGbNGqA1s2c3plw5fRnc/Plw3VlokQFJPkIIhxmGwSeffEJqaiqDBg2yOhzLrVmzhgIF1jNnTirt2+sKuQcfhNBQ+N//rI7OvUnyEUJkStOmTXnggQf45ZdfiLKqf4EbSE5OJjIykiZN7qJjR2/mzYPYWH3ddUqK/nua3btd25vRE0jyEUJk2rBhwwB4//33LY7EOlFRUSQmJt6wL2HZsvq667g4+PBDfV9ioheNGunL4UaM0K3BhSQfIUQW1K1bly5dujB//nxWr15tdTiW0Os9uvnezXx8IO2StpQUL3r10p1W331X70L1xBP6olY3bpXkdJJ8hBBZ8tFHH+Ht7c27777r1g3nnGXNmjUYhkGjRo1u+7z8+VP45BNdrj1jBjRrBr/+qruvpr1tufDtk+QjhMiaSpUq8cILL7B69WoWLlxodTgut3btWmrUqOHwTtZ58sDjj+sN4Pfsga+/1nv0gm710LWrbnyXWxKRJB8hRJYNGjQIPz8/3nvvPey5aEU9Li6OQ4cOZbkPVaVK0LKl/rvdrteBfv4ZWrSAatVg7Fi9aXxOJslHCJFlISEhvPLKK0RFRfHrr79aHY7LLF++HIAWLVpkeywvL91ncedO3eTu+HG9vU/p0uToC1cl+QghsuXdd9+lQIECDBw40CPabZthxYoVADRv3ty0MatUgTFjdNO7H37Q3etDQvRjixbB55/rTiU5hSQfIUS2FCtWjP79+xMdHc13331ndTgusWLFCipXrkypUqVMHztvXujWDSZOvHbf559Dnz56NvT887BuneevDUnyEUJkW9++fSlatChDhgzxyHbbmREbG0tcXJwpp9wcNWMGfPst1K4N330HTZro7vUbNrgsBNOZmnwMw2hhGEaqYRivmjmuEMK9FSxYkPfee49Dhw4x8fqP7DlQ2npPy7SKARfw94fnntNd6qOioHdvXbqdNvFKSNB9hzyJacnHMIwCwKfAArPGFEJ4jt69exMSEsLw4cNzRLvtjDhjvSczateGCRPg6NFra0JTp0KDBvr21Vf6glZ3Z+bMZwwwCsh5bQ6FEHeUN29eBg8ezMmTJxkzZozV4TiFUooVK1ZQpUoVSpYsaWksefJc+3urVvqi1d279Z+lS+s+RDt2WBffnRhmXJlsGEZ74AWl1OOGYXwHRCqlxmfw3H7A1T6BERERwZ06dcrW8RMTE8mbN2+2xnAFT4kTPCdWidNc2Y0zNTWVl19+mTNnzvDtt986fAFmVljxnsbHx/PCCy/w4IMP8tprrzn0GlfGeemSN8uXl2L+/DLExBTk1Vd38NBDBwGw2Qx8fTP+fW9GnG3btjUcfrJS6o43YBV6RpPerQywBQi68tzvgFcdGffKLdsWLlxoxjBO5ylxKuU5sUqc5jIjzunTpytA9e/f34SIMmbFe/r5558rQM2ZM8fh11gRp92u1Pr1Sp09q7/ev1+pwoWVevVVpbZuTf81JsXp6O99x067KaXuVUoVS+8GlANKAesNw4gFOgNDDMMY4nAGFELkGI8//niObbe9cOFCfHx8aNWqldWh3JZhQMOG1zY3PXIEgoNh/HioWRPuuQe+/x4uX7Yuxmyv+SilViulgpRS5ZVS5YGZwGCl1OBsRyeE8DheXl4MHz48x7XbTkxMZPny5TRt2pQCBQpYHU6mNGkC//0H//wD3bvryrhnn4Wnn7YuJrnORwhhunbt2l1ttx0dHW11OKZYvXo1ly5dol27dlaHkiWGAXffrWc88fF6/7jevfVjSsHu3QVdGo/pyUcp9ZzKoNhACJE75MR222k7d3tq8rlekSLwxhvQurX++sABKFHCtRcHy8xHCOEUae22p0+fzkZPuwIyHQsWLKBUqVLUqlXL6lBMV64cBAYmu/SYknyEEE4zYsQIvLy86N+/v0c3nIuLi2PHjh20bdsWw3C8mlhkTJKPEMJpatasSY8ePfj777/5/fffrQ4ny3777TcAOnbsaHEkOYckHyGEUw0dOpT8+fPz1ltvkZzs2lM7Zpk9ezb+/v60adPG6lByDEk+QginKlmyJO+88w7R0dEeuenosWPHWL16Ne3atcPf39/qcHIMST5CCKfr168fZcqUYciQIZz2sP7Qf/zxB0opHn30UatDyVEk+QghnC5fvnwMHz6cM2fOMGzYMA/vHZUAAAxdSURBVKvDyZTZs2fj6+vLgw8+aHUoOYokHyGES3Tt2pUGDRowfvx49u7da3U4Djl79izLli2jVatWBAYGWh1OjiLJRwjhEl5eXowZMwabzUbfvn2tDschM2fOxGaz0blzZ6tDyXEk+QghXObee+/lqaeeYt68ecybN8/qcO5o2rRp+Pn5SfJxAkk+QgiXGj16NPnz56dPnz5ctnJb5Ts4cOAAK1asoEOHDnLKzQkk+QghXKp06dIMGTKE/fv3M3LkSKvDydBPP/0EQLdu3SyOJGeS5COEcLnXXnuN6tWr88knn7Bv3z6rw7mFUoqpU6dSpEiRHLGRqDuS5COEcDlfX18mTJhAUlISffr0cbt931atWsWuXbt45plnyJMnj9Xh5EiSfIQQlmjevDndunXjzz//ZPr06VaHc4NJkyYB0LNnT4sjybkk+QghLDN27FiKFy9Onz59OHHihNXhAHD8+HFmzpxJy5YtqVKlitXh5FiSfIQQlilWrBjjx4/n5MmTvPbaa1aHA8CUKVOw2WxERERYHUqOJslHCGGpxx9/nE6dOvHLL78wZ84cS2NJTEzk//7v/wgODqZTp06WxpLTSfIRQljKMAy++OILAgMD6dWrl6Wn33744QeOHj1Kv379pNDAyST5CCEsV6pUKcaPH8/Ro0d54YUXLKl+S01NZdSoUQQGBvLSSy+5/Pi5jSQfIYRbePrpp+nWrRvz5s3jiy++cPnxf/nlF6Kjo+nduzcFChRw+fFzG0k+Qgi3MWHCBEJDQ+nfvz9bt2512XGTk5P54IMPKFSoEP3793fZcXMzST5CCLdRsGBBfvrpJ1JTU+ncuTNnz551yXG//PJL9u/fzzvvvEORIkVccszcTpKPEMKtNGrUiNGjR7Nnzx6efvppUlNTnXq8U6dOMXToUEqXLk2fPn2ceixxjSQfIYTb6dOnD88++yx//vkngwYNcuqxBgwYwMmTJxk5ciT+/v5OPZa4RpKPEMLtGIbBpEmTaNiwIcOHD+err75yynGWL1/Ot99+S5s2bejatatTjiHSJ8lHCOGW8ubNyx9//EFYWBgRERHMnDnT1PFPnjzJM888Q758+Zg4cSKGYZg6vrg9ST5CCLdVsmRJFi9eTFBQEF27djWt+6ndbqd79+4cOnSIiRMnEhoaasq4wnGmJR/DMHobhrHTMIxthmH8ZxhGXrPGFkLkXqGhoSxevJiCBQvSqVMnpk2blq3xlFIMGDCAhQsX8vzzz/Pss8+aFKnIDB8zBjEMoyPwNNBYKXXWMIwgwGbG2EIIUbNmTVavXs39999P9+7diYmJoWHDhpkeRynFRx99xJgxY2jatCkTJkxwQrTCEaYkH2AAMFgpdRZAKXXcpHGFEAKAKlWqsGbNGh5++GE+/PBD6tWrR926dSlVqpRDr09KSqJv375MnDiROnXqMHfuXPLly+fkqEVGDDP2UDIM4zQwEngY8AO+V0r9L4Pn9gP6pX0dERERnN3dYxMTE8mb1/3P8nlKnOA5sUqc5vKEOJOSkpg0aRILFizA39+frl278tBDD9027l27dvH5558TExND7dq1GTRoEAEBAS6J1xPeUzAnzrZt2zpetaGUuuMNWAWczOBWBjgHfAV4A0WArcADjoytTLBw4UIzhnE6T4lTKc+JVeI0l6fEqZRSgwcPVuXLl1eACgwMVK+88or6/fff1d69e9WRI0fU1q1b1ZQpU1SbNm0UoLy8vNTAgQNVcnKyS+P0lPfUpDgdyilKKcdOuyml7r3d44ZhHAB+VkqlAqcNw1gA3AXMdzgLCiFEJjRp0oS3336bqVOn8n//939MmDAh3TUcHx8fOnfuzJAhQ6hWrZoFkYr0mLXm8xPQDvjrSpVbc2CESWMLIUS68uXLR0REBD179mT37t0sX76cffv2cfnyZQoVKkStWrVo1aoVxYsXtzpUcROzks9Y4EvDMHYACvhVKfWbSWMLIcRtGYZBlSpVqFKlitWhCAeZknyUUpeBZ8wYSwghRM4nOxwIIYRwOUk+QgghXE6SjxBCCJeT5COEEMLlJPkIIYRwOUk+QgghXE6SjxBCCJeT5COEEMLlJPkIIYRwOUk+QgghXE6SjxBCCJeT5COEEMLlJPkIIYRwOUk+QgghXE6SjxBCCJeT5COEEMLlJPkIIYRwOUk+QgghXE6SjxBCCJeT5COEEMLlJPkIIYRwOUk+QgghXE6SjxBCCJeT5COEEMLlJPkIIYRwOUk+QgghXE6SjxBCCJeT5COEEMLlTEk+hmGEGYaxzDCMKMMwdhmG8ZlhGJLYhBBCpMusBDEa+F0pVQeoA7QB2pk0thBCiBzGzNlJoSt/5gN8gSMmji2EECInUUpl+waUA/4D4oHLwHu3eW4/4NB1t34mHD/bY7ji5ilxelKsEmfujNOTYpU4078ZVw56W4ZhrAKqZvBwXaAXcEYpNcowjCDgL6CPUuqvTOTBLDMM45BSKsQVx8oOT4kTPCdWidNcnhIneE6sEmf6fBx5klLq3ts9bhhGHyD0ynOPG4axAGiOTkJCCCHEDcxa89kHtAcwDCMAaAVsM2lsIYQQOYxZyedZ4GXDMP4DIoHF8P/t3V2IVVUYxvH/Q4Z2YQhZoGhpZYUVlmgphFYmEiRCXyAVIgSFREQUmATTB4gReBF2kVBJmgWVCYEWFBlqiBrTaPahlZ94USZZkFra08Vex6bpzJkTevbaZ3p/N8MMw6yHPXvWWnutvd7h7TP0s5uxuMS2Tke75IT2yRo5z6x2yQntkzVy1tHUnk8IIYRwJsVB0BBCCKWLwSeEEELpYvAJIYRQun4z+LRTfTlJ8yR9JekLSdskDcqdqRFJN0o6Kemh3FnqkbQwXc8uSZsl3Zw7U42kMZI+lbQzZRubO1M9kgZJWp1yfi7pfUmjcudqRFKHJEu6KneWeiQNlLRE0i5JOyStyJ2pHkkzJH0mqTP1SXPKaLepcz5tolZf7oXUmW8BPgLW5I31T5JmAfcAk2wfSYdy/8gcq1eSBgPPAWtzZ2lgPfCs7aOSxgHrJA2zfSx3MOAlYKntZZLuBF4GJmfO1JulwFrbThONpRR1GitH0nhgErAvd5YGFgF/Apelazosd6CeJAlYCdxke1uacHwtaZXtX1vZdiWfDE5DO9SXexzosH0EikO5tk9mztTIYuB54FDuIL2xvdb20fTpduAsYGjGSACkicV4oDbjfQcYXcUnCtvHbK/x36+/biIdHK8aSQOBF4F5QCVf103nHedSlBozgO0q9kc1Q9LHc4GfgOOtbrA/DT6PAHdJOkhRY+41252ZM9UzFpggaaOkrak6RCVJuhUYYrvMM1unay7wne0DuYMAI4GDtk8ApE5oH3Bh1lTNeRh4L3eIXjwDrLC9O3eQBi6h6MSfTH/n6yVNyx2qp3RP3g2skrQX2ADMsf17q9tum2W3JurLPQAs715fTtKmsurL1TSRcwDFjTmF4kntE0nf2i59ebCJrIuA6eUlqq+vnLb3p++bBnRQgczd9JyZK0uK/0DSAmAM8GDuLD1JmgxMBObnztKHsymeHL+0PT8tB38oaaztHzNnO0XSAOAJYJbtjZImAqslXW37cCvbbpvBp13qyzWRcx/wRlpqO5xyXkeGvalGWSXdAAwDNhfLwgwFZko633ZHSRGBvq8pgKSpwKvATNvftD5VU/YDIyQNsH0ira+PpML7FJIeA24HbrH9W+48dUwFrgB2p/tyBPCBpPttV2lfci/Ffs/rALa7JO0GrgTWZczV0zXAcNsbAWxvSatH44CPW9lwf1p2a5f6citJ/2gvvRgxFejKmqgO2xtsX2B7lO1RFOWSOsoeeJohaQqwnGL2VplrafsHoBO4N33pDmCP7T3ZQjUg6VFgNjDd9s+589Rje5Ht4d3uywPAjIoNPNg+RPHC0wwASRcBo4GqTIxqahOkywEkXUqxMrOz1Q33m/I6kq4FlgCDKR55V9Nts68qJJ1D8QbUBIolmbdsP5U1VBMkLQO22l6SO0tPknZRbJR239C9z/b2TJFOSX/Uy4DzgF8o1tN3ZA1Vh6QRFB3R90DtLafjtq/Pl6pvkvYAt9mu3ERT0sXAKxS/+5PA07bfzZvq3yTNBhZQPKkJWGj7zZa3W7G+OYQQwv9Af1p2CyGE0CZi8AkhhFC6GHxCCCGULgafEEIIpYvBJ4QQQuli8AkhhFC6GHxCCCGULgafEEIIpfsLV0zbOPGLc7AAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfe47f3ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfe4b6bc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdfa2c198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdfe4f470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdefe8ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfe4120668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdf1771d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbfdf1e0198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "# universal approximation\n",
    "def loss(x):\n",
    "    return 0.02*((x-0.333) ** 4 - 30*x**2)\n",
    "\n",
    "def relu(x):\n",
    "    return x if x >= 0.0 else 0.0\n",
    "\n",
    "relu = np.vectorize(relu)\n",
    "    \n",
    "activations = []\n",
    "def nn(activations, x):   \n",
    "    out = np.zeros_like(x)\n",
    "    for w, b in activations:\n",
    "        out += w * relu(x + b)\n",
    "    return out\n",
    "\n",
    "pieces = np.linspace(-5, 6, num=13)\n",
    "offset = pieces[1] - pieces[0]\n",
    "print(offset)\n",
    "print()\n",
    "\n",
    "for i, v in enumerate(pieces):\n",
    "    delta = loss(v) - nn(activations, v)\n",
    "    w = delta / offset \n",
    "    activations.append((w, offset-v))\n",
    "\n",
    "    xs = np.linspace(-8, 8, num=1000)\n",
    "    plt.plot(xs, loss(xs), c=\"k\")\n",
    "    plt.plot(xs, nn(activations[:-1], xs), \"r--\", label=\"$f_{t-1}$\")\n",
    "    plt.plot(xs, nn([activations[-1]], xs), \"b--\", label=\"$h_t$\")\n",
    "    plt.plot(xs, nn(activations, xs), \"r\", label=\"$f_t = f_{t-1}+h_t$\")\n",
    "    plt.legend(loc=\"upper right\")\n",
    "    plt.grid()\n",
    "    plt.ylim(-8, 5)\n",
    "    remove_frame()\n",
    "    plt.savefig(\"ua-%d.png\" % i)\n",
    "    plt.show()\n",
    "    print()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
